doc. RNDr.

Zdeněk Šmarda

CSc.

FEKT, UMAT – docent

+420 54114 6099
smarda@vut.cz

Odeslat VUT zprávu

Publikace

2024
STEVIČ, S.; IRIČANIN, B.; KOSMALA, W.; ŠMARDA, Z. On solvability of a two-dimensional symmetric nonlinear system of difference equations. Journal of Inequalities and Applications, 2024, roč. 2024, č. 8, s. 1-17. ISSN: 1029-242X.
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2023
ŠMARDA, Z.; KOROBKO, E.; VYROUBALOVÁ, J. Semi-analytical Numerical Methods. 2023. s. 1-71.
Detail
ŠMARDA, Z.; TŮMA, M.; VYROUBALOVÁ, J. Fractional Calculus. 2023. s. 1-60.
Detail
ŠMARDA, Z. Laplace Adomian Decomposition Method for Solving Fractional Delay Differential Equations with Variable Coefficients. In Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2021 (ICNAAM-2021). AIP conference proceedings. 2023. s. 1-4. ISSN: 0094-243X.
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DIBLÍK, J.; GALEWSKI, M.; RADULESCU, V.; ŠMARDA, Z. Multiplicity of solutions for nonlinear coercive problems. Journal of Mathematical Analysis and Application, 2023, roč. 528, č. 1, s. 1-13. ISSN: 0022-247X.
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BEREZANSKY, L.; DIBLÍK, J.; SVOBODA, Z.; ŠMARDA, Z. Exponential stability criteria for linear neutral systems with applications to neural networks of neutral type. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2023, roč. 360, č. 1, s. 301-326. ISSN: 0016-0032.
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ŠMARDA, Z.; TŮMA, M. Vybrané partie matematiky II, dynamické systémy. 2023. s. 1-132.
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2022
BEREZANSKY, L.; DIBLÍK, J.; SVOBODA, Z.; ŠMARDA, Z. Simple tests for uniform exponential stability of a linear delayed vector differential equation. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, roč. 8, č. 3, s. 1537-1542. ISSN: 0018-9286.
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STEVIČ, S.; IRIČANIN, B.; KOSMALA, W.; ŠMARDA, Z. On a solvable class of nonlinear difference equations of fourth order. Electronic Journal of Qualitative Theory of Differential Equations, 2022, roč. 2022, č. 37, s. 1-17. ISSN: 1417-3875.
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STEVIČ, S.; IRIČANIN, B.; KOSMALA, W.; ŠMARDA, Z. On a nonlinear second-order difference equation. Journal of Inequalities and Applications, 2022, roč. 2022, č. 1, s. 1-11. ISSN: 1029-242X.
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STEVIČ, S.; IRIČANIN, B.; KOSMALA, W.; ŠMARDA, Z. Note on difference equations with the right-hand side function nonincreasing in each variable. Journal of Inequalities and Applications, 2022, roč. 2022, č. 1, s. 1-7. ISSN: 1029-242X.
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2021
EL-SAYED, A.; IRIČANIN, B.; KOSMALA, W.; STEVIČ, S.; ŠMARDA, Z. Note on constructing a family of solvable sine-type difference equations. Advances in Difference Equations, 2021, roč. 2021, č. 1, s. 1-11. ISSN: 1687-1847.
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STEVIČ, S.; IRIČANIN, B.; KOSMALA, W.; ŠMARDA, Z. Note on a solution form to the cyclic bilinear system of difference equations. APPLIED MATHEMATICS LETTERS, 2021, roč. 111, č. 106690, s. 1-8. ISSN: 0893-9659.
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STEVIČ, S.; IRIČANIN, B.; KOSMALA, W.; ŠMARDA, Z. Note on theoretical and practical solvability of a class of discrete equations generalizing the hyperbolic-cotangent class. Journal of Inequalities and Applications, 2021, roč. 2021, č. 184, s. 1-12. ISSN: 1029-242X.
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STEVIČ, S.; EL-SAYED, A.; KOSMALA, W.; ŠMARDA, Z. Note on a difference equation and some of its relatives. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, roč. 44, č. 13, s. 10053-10061. ISSN: 0170-4214.
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STEVIČ, S.; EL-SAYED, A.; KOSMALA, W.; ŠMARDA, Z. On a class of difference equations with interlacing indices. Advances in Difference Equations, 2021, roč. 2021, č. 1, s. 1-16. ISSN: 1687-1847.
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BEREZANSKY, L.; DIBLÍK, J.; SVOBODA, Z.; ŠMARDA, Z. Uniform exponential stability of linear delayed integro-differential vector equations. J.Differetial Equations, 2021, roč. 270, č. 5, s. 573-595. ISSN: 0022-0396.
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2020
DIBLÍK, J.; RODKINA, A.; ŠMARDA, Z. On local stability of stochastic delay nonlinear discrete systems with state-dependent noise. Applied Mathematics and Computation, 2020, roč. 374, č. 125019, s. 1-15. ISSN: 1873-5649.
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STEVIČ, S.; IRIČANIN, B.; KOSMALA, W.; ŠMARDA, Z. Solvability of a class of hyperbolic-cosine-type difference equations. Advances in Difference Equations, 2020, roč. 2020, č. 564, s. 1-12. ISSN: 1687-1847.
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STEVIČ, S.; IRIČANIN, B.; KOSMALA, W.; ŠMARDA, Z. Note on some representations of general solutions to homogeneous linear difference equations. Advances in Difference Equations, 2020, roč. 2020, č. 1, s. 1-13. ISSN: 1687-1847.
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BRAVERMAN, E.; DIBLÍK, J.; RODKINA, A.; ŠMARDA, Z. Stabilization of cycles for difference equations with a noisy PF control. AUTOMATICA, 2020, roč. 115, č. 1, s. 1-8. ISSN: 0005-1098.
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2019
ŠMARDA, Z. Numerical Solving Linear Systems of Stiff Delay Differential Equations with Constant Delays. Advances in Intelligent Systems and Computing, 2019, roč. 2019, č. 837, s. 299-310. ISSN: 2194-5357.
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STEVIČ, S.; IRIČANIN, B.; KOSMALA, W.; ŠMARDA, Z. On some classes of solvable systems of difference equations. Advances in Difference Equations, 2019, roč. 2019, č. 39, s. 1-19. ISSN: 1687-1847.
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REBENDA, J.; ŠMARDA, Z. Numerical algorithm for nonlinear delayed differential systems of nth order. Advances in Difference Equations, 2019, roč. 2019, č. 26, s. 1-13. ISSN: 1687-1847.
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STEVIČ, S.; IRIČANIN, B.; KOSMALA, W.; ŠMARDA, Z. Solvability od a nonlinear fifth-order difference equation. Mathematical Methods in the Applied Sciences, 2019, roč. 2019, č. 42, s. 1687-1701. ISSN: 1099-1476.
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REBENDA, J.; ŠMARDA, Z. Solutions to delayed fractional differential equations of second order. In International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2018. AIP conference proceedings. 2019. s. 1-4. ISBN: 9780735418547. ISSN: 0094-243X.
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STEVIČ, S.; IRIČANIN, B.; KOSMALA, W.; ŠMARDA, Z. Existence and Global Attractivity of Periodic Solutions to Some Classes of Difference Equations. FILOMAT, 2019, roč. 2019, č. 33.10, s. 3187-3201. ISSN: 0354-5180.
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REBENDA, J.; ŠMARDA, Z. Boundary value problem for elliptic equations, a differential transformation approach. In International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2018. AIP conference proceedings. 2019. s. 1-4. ISBN: 9780735418547. ISSN: 0094-243X.
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DIBLÍK, J.; RODKINA, A.; ŠMARDA, Z. Preserving positivity in solution of stochastic delay difference equations. In 18th CONFERENCE ON APPLIED MATHEMATICS APLIMAT 2019 PROCEEDINGS. 2019. s. 233-242. ISBN: 978-80-227-4884-1.
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STEVIČ, S.; IRIČANIN, B.; ŠMARDA, Z. On a symmetric bilinear system of difference equations. APPLIED MATHEMATICS LETTERS, 2019, roč. 89, č. 2019, s. 15-21. ISSN: 0893-9659.
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BEREZANSKY, L.; DIBLÍK, J.; SVOBODA, Z.; ŠMARDA, Z. Exponential Stability Tests for Linear Delayed Differential Systems Deepending on All Delayes. Journal of Dynamics and Differential Equations, 2019, roč. 2019, č. 31, s. 2095-2108. ISSN: 1572-9222.
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REBENDA, J.; ŠMARDA, Z. Application of differential transform to two-term fractional differential equations with noncommensurate orders. In International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2018. AIP conference proceedings. 2019. s. 1-4. ISBN: 9780735418547. ISSN: 0094-243X.
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2018
REBENDA, J.; ŠMARDA, Z. A numerical approach for solving of fractional Emden-Fowler type equations. In International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017. AIP conference proceedings. 2018. s. 1-4. ISBN: 9780735416901. ISSN: 0094-243X.
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BEREZANSKY, L.; DIBLÍK, J.; SVOBODA, Z.; ŠMARDA, Z. Exponential stability of linear delayed differential systems. APPLIED MATHEMATICS AND COMPUTATION, 2018, roč. 2018, č. 320, s. 474-484. ISSN: 0096-3003.
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STEVIČ, S.; ŠMARDA, Z.; IRIČANIN, B. On a Solvable Symmetric and a Cyclic System of Partial Difference Equations. FILOMAT, 2018, roč. 2018, č. 32:6, s. 2043-2065. ISSN: 0354-5180.
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STEVIČ, S.; IRIČANIN, B.; KOSMALA, W.; ŠMARDA, Z. Note on the bilinear difference equation with a delay. Mathematical Methods in the Applied Sciences, 2018, roč. 41, č. 18, s. 9349-9360. ISSN: 1099-1476.
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STEVIČ, S.; IRIČANIN, B.; KOSMALA, W.; ŠMARDA, Z. Representation of solutions of a solvable nonlinear difference equation of second order. Electronic Journal of Qualitative Theory of Differential Equations, 2018, roč. 2018, č. 95, s. 1-18. ISSN: 1417-3875.
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STEVIČ, S.; IRIČANIN, B.; ŠMARDA, Z. Product-type System of Difference Equations with Multiplicative Coefficients Solvable in Closed Form. Journal of Computational Analysis and Applications, 2018, roč. 24, č. 6, s. 1088-1101. ISSN: 1572-9206.
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2017
REBENDA, J.; ŠMARDA, Z. A differential transformation approach for solving functional differential equations with multiple delays. Communications in Nonlinear Science and Numerical Simulation, 2017, roč. 48, č. 2017, s. 246-257. ISSN: 1007-5704.
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ŠMARDA, Z. Semi-analytical approach to solving partial differential equations. In 16th Conference on Applied Mathematics (APLIMAT 2017). Bratislava, Slovak Republic: 2017. s. 1447-1452. ISBN: 978-1-5108-3698-3.
Detail
REBENDA, J.; ŠMARDA, Z. A semi-analytical approach for solving nonlinear systems of functional differential equations with delay. In Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2016 (ICNAAM-2016). AIP conference proceedings. USA: 2017. s. 1-4. ISBN: 978-0-7354-1538-6. ISSN: 0094-243X.
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REBENDA, J.; ŠMARDA, Z. Numerical Solution of Fractional Control Problems via Fractional Differential Transformation. In Proceedings of European Conference on Electrical Engineering and Computer Science 2017. 2017. s. 107-111. ISBN: 978-1-5386-2085-4.
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STEVIČ, S.; IRIČANIN, B.; ŠMARDA, Z. NOTE ON BOUNDED SOLUTIONS TO NONHOMOGENOUS LINEAR DIFFERENCE EQUATIONS. Electronic Journal of Differential Equations, 2017, roč. 2017, č. 286, s. 1-22. ISSN: 1072-6691.
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STEVIČ, S.; IRIČANIN, B.; ŠMARDA, Z. Boundary Value Problems for Some Important Classes of Recurrent Relations with Two Independent Variables. Symmetry, 2017, roč. 9, č. 12, s. 1-16. ISSN: 2073-8994.
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STEVIČ, S.; IRIČANIN, B.; ŠMARDA, Z. On a Solvable Class of Product-type Systems of Difference Equations. FILOMAT, 2017, roč. 31, č. 19, s. 6113-6129. ISSN: 0354-5180.
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REBENDA, J.; ŠMARDA, Z.; KHAN, Y. A New Semi-analytical Approach for Numerical Solving of Cauchy Problem for Differential Equations with Delay. Filomat, 2017, roč. 31, č. 15, s. 4725-4733. ISSN: 0354-5180.
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2016
STEVIČ, S.; DIBLÍK, J.; IRIČANIN, B.; ŠMARDA, Z. On a Fifth- Order Difference Equation. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, roč. 20, č. 7, s. 1214-1227. ISSN: 1521-1398.
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KHAN, Y.; FARAZ, N.; ŠMARDA, Z. Difference kernel iterative method for linear and nonlinear partial differential equations. NEURAL COMPUTING & APPLICATIONS, 2016, roč. 27, č. 3, s. 671-676. ISSN: 0941-0643.
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STEVIČ, S.; IRIČANIN, B.; ŠMARDA, Z. Two-dimensional product-type system of difference equations solvable in closed form. Advances in Difference Equations, 2016, roč. 2016, č. 253, s. 1-20. ISSN: 1687-1847.
Detail | WWW | Plný text v Digitální knihovně
BEREZANSKY, L.; DIBLÍK, J.; SVOBODA, Z.; ŠMARDA, Z. New exponential stability conditions for linear delayed systems of differential equations. Electronic Journal of Qualitative Theory of Differential Equations, 2016, roč. 2016, č. 5, s. 1-18. ISSN: 1417-3875.
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STEVIČ, S.; IRIČANIN, B.; ŠMARDA, Z. Solvability of a close to symmetric system of difference equations. Electronic Journal of Differential Equations, 2016, roč. 2016, č. 159, s. 1-13. ISSN: 1072-6691.
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2015
ŠMARDA, Z.; KHAN, Y. An efficient computational approach to solving singular initial value problems for Lane–Emden type equations. Journal of Computational and Applied Mathematics, 2015, roč. 2015, č. 290, s. 65-73. ISSN: 0377-0427.
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ZHAO, Y.; LIN, R.; ŠMARDA, Z.; KHAN, Y.; CHEN, J.; WU, Q. Semilocal Convergence Theorem for the Inverse-Free Jarratt Method under New Hölder Conditions. The Scientific World Journal, 2015, roč. 2015, č. 1, s. 1-9. ISSN: 1537-744X.
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REBENDA, J.; ŠMARDA, Z. A New Iterative Method for Linear and Nonlinear Partial Differential Equations. AIP conference proceedings, 2015, roč. 2015, č. 1648, s. 1-4. ISSN: 0094-243X.
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KHAN, Y.; ŠMARDA, Z.; FARAZ, N. On the study of viscous fluid due to exponentially shrinking sheet in the presence of thermal radiation. Thermal Science, 2015, roč. 2015, č. 19, Suppl. 1, s. 191-196. ISSN: 0354- 9836.
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BEREZANSKY, L.; DIBLÍK, J.; SVOBODA, Z.; ŠMARDA, Z. Simple uniform exponential stability conditions for a system of linear delay differential equations. APPLIED MATHEMATICS AND COMPUTATION, 2015, roč. 2015, č. 250, s. 605-614. ISSN: 0096- 3003.
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REBENDA, J.; ŠMARDA, Z. Existence of solutions converging to zero for nonlinear delayed differential systems. Advances in Difference Equations, 2015, roč. 2015, č. 1, s. 1-10. ISSN: 1687-1847.
Detail | WWW | Plný text v Digitální knihovně
STEVIČ, S.; DIBLÍK, J.; IRIČANIN, B.; ŠMARDA, Z. On the system of difference equations $$ x_n=\frac{x_{n-1}y_{n-2}}{ay_{n-2}+by_{n-1}}, y_n=\frac{y_{n-1}x_{n-2}}{cx_{n-2}+dx_{n-1}}$$. APPLIED MATHEMATICS AND COMPUTATION, 2015, roč. 2015, č. 270, s. 688-704. ISSN: 0096-3003.
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REBENDA, J.; ŠMARDA, Z. Convergence analysis of an iterative scheme for solving initial value problem for multidimensional partial differential equations. Computers and Mathematics with Applications, 2015, roč. 2015 (70), č. 8, s. 1772-1780. ISSN: 0898- 1221.
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STEVIČ, S.; IRIČANIN, B.; ŠMARDA, Z. On a product-type system of difference equations of second order solvable in closed form. Journal of Inequalities and Applications, 2015, roč. 2015, č. 327, s. 1-15. ISSN: 1029-242X.
Detail | WWW | Plný text v Digitální knihovně
STEVIČ, S.; IRIČANIN, B.; ŠMARDA, Z. Boundedness character of a fourth-order system of difference equations. Advances in Difference Equations, 2015, roč. 2015, č. 315, s. 1-11. ISSN: 1687-1847.
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STEVIČ, S.; IRIČANIN, B.; ŠMARDA, Z. On a close to symmetric system of difference equations of second order. Advances in Difference Equations, 2015, roč. 2015, č. 264, s. 1-17. ISSN: 1687-1847.
Detail | WWW | Plný text v Digitální knihovně
2014
DIBLÍK, J.; IRIČANIN, B.; STEVIČ, S.; ŠMARDA, Z. Note on the existence of periodic solutions of a class of systems of differential-difference equations. APPLIED MATHEMATICS AND COMPUTATION, 2014, roč. 2014, č. 232, s. 922-928. ISSN: 0096-3003.
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STEVIČ, S.; DIBLÍK, J.; ŠMARDA, Z. On periodic and solutions converging to zero of some systems of differential-difference equations. APPLIED MATHEMATICS AND COMPUTATION, 2014, roč. 2014, č. 227, s. 43-49. ISSN: 0096-3003.
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STEVIČ, S.; DIBLÍK, J.; IRIČANIN, B.; ŠMARDA, Z. Solvability of nonlinear difference equations of the fourth order. Electronic Journal of Differential Equations, 2014, roč. 2014, č. 264, s. 1-14. ISSN: 1072- 6691.
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KHAN, Y.; FARAZ, N.; ŠMARDA, Z. A novel iterative scheme and its application to differential equations. The Scientific World Journal, 2014, roč. 2014, č. 1, s. 1-5. ISSN: 1537-744X.
Detail | WWW | Plný text v Digitální knihovně
LIN, R.; REN, H.; ŠMARDA, Z.; WU, Q.; KHAN, Y.; HU, J. New families of third-order iterative methods for finding multiple roots. Journal of Applied Mathematics, 2014, roč. 2014, č. 1, s. 1-9. ISSN: 1110-757X.
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STEVIČ, S.; DIBLÍK, J.; IRIČANIN, B.; ŠMARDA, Z. On a solvable system of rational difference equations. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2014, roč. 2014(20), č. 5-6, s. 811-825. ISSN: 1023-6198.
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2013
ŠMARDA, Z.; HALFAROVÁ, H.; OLEKSANDRA, K. APPLICATION OF HOMOTOPY PERTURBATION METHOD TO SOLVING SINGULAR INITIAL VALUE PROBLEMS. Journal of Applied Mathematics, 2013, roč. 5, č. 2, s. 69-76. ISSN: 1337- 6365.
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ŠMARDA, Z.; KHAN, Y. SINGULAR INITIAL VALUE PROBLEM FOR IMPLICIT VOLTERRA INTEGRO- DIFFERENTIAL EQUATIONS. Journal of Applied Mathematics, 2013, roč. 5, č. 2, s. 97-102. ISSN: 1337- 6365.
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REBENDA, J.; ŠMARDA, Z. Stability and asymptotic properties of a system of functional differential equations with nonconstant delays. APPLIED MATHEMATICS AND COMPUTATION, 2013, roč. 219, č. 12, s. 6622-6632. ISSN: 0096- 3003.
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DIBLÍK, J.; IRIČANIN, B.; STEVIČ, S.; ŠMARDA, Z. On Some Symmetric Systems of Difference Equations. Abstract and Applied Analysis, 2013, roč. 2013, č. Article ID 2467, s. 1-7. ISSN: 1085- 3375.
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REBENDA, J.; ŠMARDA, Z. Stability of a Functional Differential System with a Finite Number of Delays. Abstract and Applied Analysis, 2013, roč. 2013, č. Article ID 85313, s. 1-11. ISSN: 1085- 3375.
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LIN, R.; ZHAO, Y.; ŠMARDA, Z.; KHAN, Y.; WU, Q. Newton-Kantorovich and Smale uniform type convergence theorem for a deformed Newton method in Banach spaces. Abstract and Applied Analysis, 2013, roč. 2013, č. 1, s. 1-8. ISSN: 1085-3375.
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DIBLÍK, J.; REBENDA, J.; ŠMARDA, Z. Singular Initial Value Problem for Certain Classes of Systems of Ordinary Differential Equations. Abstract and Applied Analysis, 2013, roč. 2013, č. 1, s. 1-12. ISSN: 1085-3375.
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KHAN, Y.; ŠMARDA, Z. Heat Transfer Analysis on the Hiemenz Flow of a Non-Newtonian Fluid: A Homotopy Method Solution. Abstract and Applied Analysis, 2013, roč. 2013, č. 1, s. 1-5. ISSN: 1085-3375.
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LIN, R.; ZHAO, Y.; ŠMARDA, Z.; WU, Q.; KHAN, Y. Newton-Kantorovich convergence theorem of a new modified Halleys method family in a Banach space. Advances in Difference Equations, 2013, roč. 2013, č. 325, s. 1-11. ISSN: 1687-1847.
Detail | WWW | Plný text v Digitální knihovně
ŠMARDA, Z.; KHAN, Y. Singular initial value problem for a system of integro- differential equations unsolved with respect to the derivative. APPLIED MATHEMATICS AND COMPUTATION, 2013, roč. 2013, č. 222, s. 290-296. ISSN: 0096- 3003.
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REBENDA, J.; ŠMARDA, Z. Comparison of differential transformation method with Adomian decomposition method for functional differential equations with proportional delays. In 11th International Conference on Numerical Analysis and Applied Mathematics: ICNAAM 2013. AIP conference proceedings. 2013. s. 1190-1193. ISBN: 978-0-7354-1184-5. ISSN: 0094-243X.
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2012
DIBLÍK, J.; RŮŽIČKOVÁ, M.; ŠMARDA, Z.; ŠUTÁ, Z. Asymptotic convergence of the solutions of a dynamic equation on discrete time scales. Abstract and Applied Analysis, 2012, roč. 2012, č. ID 580750, s. 1-20. ISSN: 1085-3375.
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BEREZANSKY, L.; BAŠTINEC, J.; DIBLÍK, J.; ŠMARDA, Z. On a delay population model with quadratic nonlinearity. Advances in Difference Equations, 2012, roč. 2012, č. 1, s. 1-13. ISSN: 1687-1847.
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ŠMARDA, Z.; HALFAROVÁ, H.; KUKHARENKO, O. APPLICATION OF HOMOTOPY PERTURBATION METHOD TO SOLVING SINGULAR INITIAL VALUE PROBLEMS. In Proceedings of the 11 th International Conference - Aplimat 2012. Bratislava: 2012. s. 147-152. ISBN: 978-80-89313-58- 7.
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ŠMARDA, Z.; REBENDA, J. Asymptotic Behaviour of a Two- Dimensional Differential System with a Finite Number of Nonconstant Delays under the Conditions of Instability. Abstract and Applied Analysis, 2012, roč. 2012, č. Article ID 95260, s. 1-20. ISSN: 1085- 3375.
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STEVIČ, S.; DIBLÍK, J.; IRIČANIN, B.; ŠMARDA, Z. On a Third- Order System of Difference Equations with Variable Coefficients. Abstract and Applied Analysis, 2012, roč. 2012, č. Article ID 50852, s. 1-22. ISSN: 1085- 3375.
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STEVIČ, S.; DIBLÍK, J.; IRIČANIN, B.; ŠMARDA, Z. On a Periodic System of Difference Equations. Abstract and Applied Analysis, 2012, roč. 2012, č. Article ID 25871, s. 1-5. ISSN: 1085- 3375.
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STEVIČ, S.; DIBLÍK, J.; IRIČANIN, B.; ŠMARDA, Z. On the Difference Equation $ x_{n+1} =x_n x_{n-k}/x_{n-k+1} (a+bx_n x_{n-k})$. Abstract and Applied Analysis, 2012, roč. 2012, č. Article ID 10804, s. 1-9. ISSN: 1085- 3375.
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STEVIČ, S.; DIBLÍK, J.; IRIČANIN, B.; ŠMARDA, Z. On the Difference Equation $ x_n = a _nx_{n-k}/(b_nc_n x_{n-1} ... x_{n-k}) $. Abstract and Applied Analysis, 2012, roč. 2012, č. ID 409237, s. 1-20. ISSN: 1085- 3375.
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KHAN, Y.; ŠMARDA, Z. A Novel Computing Approach for Third Order Boundary Layer Equation. Sains Malaysiana, 2012, roč. 41, č. 11, s. 1489-1493. ISSN: 0126- 6039.
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HALFAROVÁ, H.; ŠMARDA, Z. Differential transfom method for solving delay differential equations. In Modelling, Control and Stability. Krym, Simferopol: 2012. s. 26-27. ISBN: 978-966-491-327- 7.
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BAŠTINEC, J.; DIBLÍK, J.; HALFAROVÁ, H.; ŠMARDA, Z. An explicit criterion for the existence of positive solutions of the linear delayed equation. In Modelling, Control and Stability MCS- 2012. Krym, Simferopol: 2012. s. 26-27. ISBN: 978-966-491-327- 7.
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KHAN, Y.; SVOBODA, Z.; ŠMARDA, Z. Solving certain classes of Lane-Emden type equations using differential transformation method. Advances in Difference Equations, 2012, roč. 2012, č. 1, s. 1-13. ISSN: 1687-1847.
Detail | WWW | Plný text v Digitální knihovně
STEVIČ, S.; DIBLÍK, J.; IRIČANIN, B.; ŠMARDA, Z. On Some Solvable Difference Equations and Systems of Difference Equations. Abstract and Applied Analysis, 2012, roč. 2012, č. ID 541761, s. 1-11. ISSN: 1085- 3375.
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KHAN, Y.; DIBLÍK, J.; FARAZ, N.; ŠMARDA, Z. An efficient new perturbative Laplace method for space-time fractional telegraph equations. Advances in Difference Equations, 2012, roč. 2012, č. 1, s. 1-11. ISSN: 1687-1847.
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ŠMARDA, Z.; KHAN, Y. Singular Initial Value Problem for a System of Integro-Differential Equations. Abstract and Applied Analysis, 2012, roč. 2012, č. ID 918281, s. 1-18. ISSN: 1085-3375.
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ŠMARDA, Z.; KHAN, Y. SINGULAR INITIAL VALUE PROBLEM FOR IMPLICIT VOLTERRA INTEGRO- DIFFERENTIAL EQUATIONS. In Proceedings of the 11th International Conference - Aplimat 2012. Bratislava: 2012. s. 173-178. ISBN: 978-80-89313-58- 7.
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2011
ŠMARDA, Z.; HALFAROVÁ, H. On some applications of fractional calculus. In 10th International conference APLIMAT 2011. Bratislava: FME STU, 2011. s. 273-279. ISBN: 978-80-89313-51- 8.
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ŠMARDA, Z. Modifications of Adomian Decomposition Method for Certain Classes of Singular Differential Equations of the Second Order II. In Proceedings of the IEEEAM/ NAUN International Conferences. 2011. s. 112-117. ISBN: 978-1-61804-058- 9.
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ŠMARDA, Z. Decomposition method for fractional integro- differential equations. In Proceedings of the 10th International Conference APLIMAT 11. Bratislava: 2011. s. 327-331. ISBN: 978-80-89313-51- 8.
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DIBLÍK, J.; ŠMARDA, Z.; SVOBODA, Z.; KHUSAINOV, D. Instable trivial solution of autonomous differential systems with quadratic right- hand sides in a cone. Abstract and Applied Analysis, 2011, roč. 2011, č. Article ID 15491, s. 1-23. ISSN: 1085- 3375.
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ŠMARDA, Z. Bounds of solutions of integrodifferential equations. Abstract and Applied Analysis, 2011, roč. 2011, č. ID 571795, s. 1-7. ISSN: 1085- 3375.
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ŠMARDA, Z.; BAŠTINCOVÁ, A. Asymptotic estimates of solutions of certain initial singular value problem. In Dynamical System Modelling and Stability Investigation. Kyjev, Ukrajina: University of Kyiv, UA, 2011. s. 21-22. ISBN: 966-76-52-00- 9.
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DIBLÍK, J.; BAŠTINEC, J.; ŠMARDA, Z. Oscilation and nonoscilation of solution of differential equation with delay. In Dynamical System Modelling and Stability Investigation. Kyjev, Ukrajina: University of Kyiv, UA, 2011. s. 25-26. ISBN: 966-76-52-00- 9.
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ŠMARDA, Z.; BAŠTINCOVÁ, A. Fractional differential equations, Riemann- Liouville and Jumarie derivative. In XXIX International Colloquium on the Management of Educational Process. Brno: FEM UNOB, 2011. s. 1-7. ISBN: 978-80-7231-779- 0.
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ŠMARDA, Z.; ARCHALOUSOVÁ, O. Adomian decomposition method for fractional differential equations. In Proceediings of XXIX. International Colloquium on Education Process. Brno: UNOB Brno, 2011. s. 1-6. ISBN: 978-80-7231-779- 0.
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BAŠTINEC, J.; BEREZANSKY, L.; DIBLÍK, J.; ŠMARDA, Z. A final result on the oscillation of solutions of the linear discrete delayed equation \Delta x(n)=-p(n)x(n-k) with a positive coefficient. Abstract and Applied Analysis, 2011, roč. vol. 2011, č. Article ID 58632, s. 1-28. ISSN: 1085- 3375.
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ŠMARDA, Z.; BAŠTINCOVÁ, A. Fractional Differential Equations, Riemann- Liouville and Jumarie Derivative. In XXIX International Colloquium on the Management on the Educational Process aimed at current issues in science, educatio and creative thinking development. Brno: UNOB, 2011. s. 43-49. ISBN: 978-80-7231-780- 6.
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ŠMARDA, Z. Existence and Asymptotic Estimates of Solutions of Singular Cauchy Problems for Certain Classes of Integrodifferential Equations. In Proceedings 2011 World Congress on Engineering and Technology. Sanghai- Čína: 2011. s. 225-229. ISBN: 978-1-61284-363- 6.
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DIBLÍK, J.; ŠMARDA, Z.; BAŠTINEC, J.; BEREZANSKY, L. Oscillation of solutions of the linear discrete delayed equation and related problems. In Proceedings 2011 World Congress on Engineering and Technology. Shanghai Čína: 2011. s. 457-461. ISBN: 978-1-61284-363- 6.
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BAŠTINEC, J.; DIBLÍK, J.; ŠMARDA, Z. An explicit criterion for the existence of positive solutions of the linear delayed equation $\dot x(t)=-c(t)x(t-\tau(t))$. Abstract and Applied Analysis, 2011, roč. 2011, č. 11, s. 1-10. ISSN: 1085- 3375.
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ŠMARDA, Z.; ARCHALOUSOVÁ, O. Integral and integro-differential equations, modifications of Adomian decomposition method and homotopy perturbation method. In Proceedings of the 10th International Conference APLIMAT 11. Bratislava: 2011. s. 193-199. ISBN: 978-80-89313-51- 8.
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2010
ŠMARDA, Z. Another Applications of Wazewski' s Topological Method to Integrodifferential Equations. In Proceedings of 6th Internatinal Conference APLIMAT 2007. Bratislava: FX spol. s.r.o., Bratislava, 2010. s. 309-314. ISBN: 978-80-969562-5- 8.
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ŠMARDA, Z.; FAJMON, B. Some generalizations of Banach fixed point theorem I. In Proceedings of the 9th International Conference APLIMAT 2010. Bratislava: 2010. s. 149-154. ISBN: 978-80-89313-47- 1.
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ŠMARDA, Z.; ARCHALOUSOVÁ, O. Adomian decomposition method for certain singular initial value problems I. In Proceedings of the 9th International Conference Aplimat 2010. Bratislava: 2010. s. 183-188. ISBN: 978-80-89313-47- 1.
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ŠMARDA, Z. Volterra matrix integro-differential equations I. In Proceedings of 9 th International Conference APLIMAT 2010. Bratislava: 2010. s. 261-266. ISBN: 978-80-89313-47- 1.
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ŠMARDA, Z. Volterra matrix integro-differential equations II. Journal of Applied Mathematics, 2010, roč. 2010 (III), č. 2, s. 173-178. ISSN: 1337- 6365.
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ŠMARDA, Z.; ARCHALOUSOVÁ, O. Adomian decomposition method for certain singular initial value problems II. Journal of Applied Mathematics, 2010, roč. 2010 III., č. 2, s. 91-98. ISSN: 1337- 6365.
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ŠMARDA, Z.; FAJMON, B. Some generalizations of Banach fixed point theorem II. Journal of Applied Mathematics, 2010, roč. 2010 III, č. 2, s. 53-60. ISSN: 1337- 6365.
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ŠMARDA, Z. Singular Cauchy problem for integrodifferential equations. In Proceedings of ICMC Summer Meeting on Differential Equations 2010. Sao Carlos, Brazílie: 2010. s. 38-39. ISBN: 80-227-2083- 6.
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ŠMARDA, Z.; KLIMEK, J. Singular Cauchy problem for implicit Volterra integro- differential equations. South Bohemia Mathematical Letters, 2010, roč. 17, č. 1, s. 27-31. ISSN: 1804- 1450.
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ŠMARDA, Z. Singular Cauchy Initial Value Problem for Certain Classes of Integro- Differential Equations. Advances in Difference Equations, 2010, roč. 2010, č. 2010, s. 1-13. ISSN: 1687- 1839.
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DIBLÍK, J.; ŠMARDA, Z.; BEREZANSKY, L. On connection between second-order delay differential equations and integro- differential equations with delay. Advances in Difference Equations, 2010, roč. 2010, č. 2010, s. 1-8. ISSN: 1687- 1839.
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DIBLÍK, J.; ŠMARDA, Z.; BAŠTINEC, J. Oscillation of solutions of a linear second-order discrete delayed equation. Advances in Difference Equations, 2010, roč. 2010, č. 2010, s. 1-11. ISSN: 1687- 1839.
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ŠMARDA, Z. Some applications of fractional derivatives and integrals. In Proceedings of International Colloquium on the Management of Educational process. Brno: UNOB Brno, 2010. s. 242-246. ISBN: 978-80-7231-733- 2.
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ŠMARDA, Z.; ARCHALOUSOVÁ, O. Comparison of Adomian decomposition method and Picard method. In Proceedings of International Colloquium on the management of Educational Process. Brno: UNOB Brno, 2010. s. 27-31. ISBN: 978-80-7231-733- 2.
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ŠMARDA, Z.; KLIMEK, J. Fractional- order dynamical systems in control theory. In Proceedings of International Colloquium on the Management of Educational Process. Brno: UNOB Brno, 2010. s. 121-127. ISBN: 978-80-7231-733- 2.
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DIBLÍK, J.; ŠMARDA, Z.; BEREZANSKY, L. Positive Solutions of a Second- Order Delay Differential Equations with a Damping Term. Computers and Mathematics with Applications, 2010, roč. 62, č. 2, s. 1332-1342. ISSN: 0898- 1221.
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DIBLÍK, J.; ŠMARDA, Z.; KHUSAINOV, D.; GRYTSAY, I. Stability of Nonlinear Autonomous Quadratic Discrete Systems in the Critical Case. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2010, roč. 2010, č. Article ID 53908, s. 1-23. ISSN: 1026- 0226.
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ŠMARDA, Z.; KRUPKOVÁ, V. He's Homotopy perturbation method for Lane- Emden Type Initial Value problems. In Proceedings MFL- 2010. Simferopol: 2010. s. 174-175. ISBN: 978-966-491-137- 2.
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ŠMARDA, Z.; ARCHALOUSOVÁ, O. Adomian decomposition method for singular differential equations of the second order. In Proceedings MFL- 2010. Alušta, Krym: Simferopol, 2010. s. 162-163. ISBN: 978-966-491-137- 2.
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DIBLÍK, J.; BAŠTINEC, J.; ŠMARDA, Z. Oscillation of solutions of a linear second- order discrete delayed equation. In 10 th International Summer School " Laypunov's Functions and Their Applications". Sinferopol: University of Tavrida, 2010. s. 164-165. ISBN: 978-966-491-137- 2.
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DIBLÍK, J.; BEREZANSKY, L.; BAŠTINEC, J.; ŠMARDA, Z. On the Critical Case in Oscillation for Differential Equations with a Single Delay and with Several Delays. Abstract and Applied Analysis, 2010, roč. 2010, č. Article ID 41789, s. 1-20. ISSN: 1085- 3375.
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ŠMARDA, Z. Singular Cauchy initial value problem for certain classes of integro- differential equations. In ICAMI 2010, Proceedings of the International Conference on Applied Mathematics and Informatics. San Andrés, Colombia: 2010. s. 74-75. ISBN: 978-958-670-843- 2.
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2009
DIBLÍK, J.; RŮŽIČKOVÁ, M.; ŠMARDA, Z. Wazewskis method for systems of dynamic equations on time scales. Nonlinear Analysis, Theory, Methods and Applications, 2009, roč. 2009, č. 71, s. e1124 (e1131 s.)ISSN: 0362- 546X.
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DIBLÍK, J.; ŠMARDA, Z.; SVOBODA, Z. Retract principle for neutral functional differential equations. Nonlinear Analysis, Theory, Methods and Applications, 2009, roč. 2009, č. 71, s. e1393 (e1400 s.)ISSN: 0362- 546X.
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DIBLÍK, J.; MORÁVKOVÁ, B.; RŮŽIČKOVÁ, M.; ŠMARDA, Z. Wažewski' s method for systems of dynamic equations on time scales. In ICDEA 2009. Estoril: Portuguese Foundation for Science and Technology, 2009. s. 32-33. ISBN: 80-85960-92- 3.
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DIBLÍK, J.; KHUSAINOV, D.; ŠMARDA, Z. Construction of the general solution of planar linear discrete systems with constant coefficients and weak delay. Advances in Difference Equations, 2009, roč. 2009, č. 3, s. 1-18. ISSN: 1687- 1839.
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ŠMARDA, Z. On Certain Initial Problem for Fractional Differential Equation. In Dynamical System Modelling and Stability Investigation, Thesis of Conference Reports. Kyiv NAS of Ukraine, 2009. s. 41-42. ISBN: 80-85960-92- 3.
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ŠMARDA, Z.; FILIPPOVA, O. Asymptotic equivalence of systems of integrodifferential equations. In Dynamical System Modelling and Stability Investigation, Thesis of Conference Reports. Kyiv NAS of Ukraine, 2009. s. 270-271. ISBN: 80-85960-92- 3.
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ŠMARDA, Z.; KRUPKOVÁ, V. Asymptotic Behavior of Solutions of Integrodifferential Equations of the nth Order. In Proceedings of electronic version of reviewed contributions. UNOB Brno, 2009. s. 1-5. ISBN: 978-80-7231-650- 2.
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ŠMARDA, Z. Weighted Initial Problem for Fractional Differential Equations. In Proceedings of electronic version of reviewed contributions. UNOB Brno, 2009. s. 1-7. ISBN: 978-80-7231-650- 2.
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ŠMARDA, Z.; FILIPPOVA, O. Boundedness and Asymptotic Behavior of Solutions of Integrodifferential Equations. In Proceedings of electronic version of reviewed contribution. UNOB Brno, 2009. s. 1-4. ISBN: 978-80-7231-650- 2.
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ŠMARDA, Z. Decomposition Method of Solving of Integrodifferential Equations. In Proceedings of Seventh International Conference on Soft Computing Applied in Computer and Economic Enviroments. EPI Kunovice, 2009. s. 201-206. ISBN: 978-80-7314-163- 9.
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ŠMARDA, Z.; FAJMON, B. Existence and uniqueness of solutions of fractional delay differential Equations. In Proceedings Seventh International Conference on Soft Computing Applied in Computer and Economic Enviroments. 2009. s. 181-184. ISBN: 978-80-7314-163- 9.
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ŠMARDA, Z.; FILIPPOVA, O. Asymptotic Expansions of Solutions of Certain Classes of Nonlinear Singular Integrodifferential Equations. In Seventh International Conference on Soft Computing Applied in Computer and Economic Envitoments. 2009. s. 185-188. ISBN: 978-80-7314-163- 9.
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ŠMARDA, Z. Cauchy Singular Problem for Implicit Volterra Integrodifferential Equations. Department of Mathematics Report Series, 2009, roč. 2008, č. 16, s. 99-104. ISSN: 1214- 4681.
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ŠMARDA, Z.; FAJMON, B. Application of integral inequalities in the theory of integral and integrodifferential equations II. Journal of Applied Mathematics, 2009, roč. II., č. 2, s. 43-48. ISSN: 1337- 6365.
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ŠMARDA, Z.; FILIPPOVA, O. Singular initial problem for Fredholm-Volterra integrodifferential equations II. Journal of Applied Mathematics, 2009, roč. II., č. 2, s. 69-75. ISSN: 1337- 6365.
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ŠMARDA, Z. Generalization of Certain Integral Inequalities II. Journal of Applied Mathematics, 2009, roč. II., č. 2, s. 143-148. ISSN: 1337- 6365.
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BAŠTINEC, J.; DIBLÍK, J.; ŠMARDA, Z. Multipoint singular boundary- value problem for systems of nonlinear differential equations. Boundary Value Problems, 2009, roč. 2009, č. 1, s. 1-20. ISSN: 1687- 2762.
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2008
FAJMON, B.; ŠMARDA, Z. Applications of integral inequalities. In The seventh International mathematical Workshop. Brno: FAST VUT v Brně, 2008. s. 23-24. ISBN: 978-80-214-3727- 2.
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ŠMARDA, Z. Existence of solutions of fractional order functional differential equations with infinity delay. In The seventh International mathematical workshop. Brno: FAST VUT v Brně, 2008. s. 49-50. ISBN: 978-80-214-3727- 2.
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NOVÁK, M.; ŠMARDA, Z. Asymptotic behaviour of nonlinear integral equations. In The Seventh International mathematical Workshop. Brno: FAST VUT v Brně, 2008. s. 45-46. ISBN: 978-80-214-3727- 2.
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FILIPPOVA, O.; ŠMARDA, Z. Singullar initial problem for nonlinear integro-differential equations of Fredholm- Volterra type. In The seventh International mathematical Wotkshop. Brno: FAST VUT v Brně, 2008. s. 24-25. ISBN: 978-80-214-3727- 2.
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ŠMARDA, Z. On some integrodifferential inequalities. In The ninth Crimean Conference on Method of Lyapunov Functions and thein Applications, 2008. Simferopol, Ukrajina: 2008. s. 213-214. ISBN: 966-8180-62- 3.
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DIBLÍK, J.; SVOBODA, Z.; ŠMARDA, Z. Explicit criteria for the existence of positive solutions for a scalar differential equation with variable delay in the critical case. 2008, s. 138-138.
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BAŠTINEC, J.; DIBLÍK, J.; KHUSAINOV, D.; ŠMARDA, Z. On Initial Data Generating Bounded Solutions of Linear Discrete Systems. Plovdiv: TU Plovdiv, 2008. s. 62-62.
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DIBLÍK, J.; ŠMARDA, Z.; RŮŽIČKOVÁ, M. Bounded solutions of systems of dynamic equations on time scales. Communications of the Laufen colloquium on science, 2008, roč. 4, č. 1, s. 1-12. ISSN: 0945-0882.
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DIBLÍK, J.; SVOBODA, Z.; ŠMARDA, Z. Explicit Criteria for Existence of Positive Solutions for a Scalar Differential Equations with Variable Delay in Critical Case.IF=0,72. Computers and Mathematics with Applications, 2008, roč. 56(2008), č. 1, s. 556-564. ISSN: 0898- 1221.
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FILIPPOVA, O.; ŠMARDA, Z. Singular Initial Value Problem for Volterra Integrodifferential Equations. In Proceedings of the First International Forum of Young Researchers. Izhevsk: design.Publishing House of ISTU, 2008, 2008. s. 331-336. ISBN: 978-5-7526-0355- 6.
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ŠMARDA, Z. Modifications of the Gronwall Inequality and Their Applications. In Proceedings of electronic version of reviewed contribution. Brno: UO Brno, 2008. s. 1-5. ISBN: 978-80-7231-511- 6.
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ŠMARDA, Z.; FILIPPOVA, O. Current characteristic of a Simple Electric Circuit Described by differential and Integrodifferential equation. In Proceedings of electronic version of reviewed contribution. Brno: UO Brno, 2008. s. 1-6. ISBN: 978-80-7231-511- 6.
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ŠMARDA, Z.; FAJMON, B. On Some Applications of Laplace Transform. In Proceedings of electronic version of reviewed contribution. Brno: UO Brno, 2008. s. 1-6. ISBN: 978-80-7231-511- 6.
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ŠMARDA, Z. Implicit Singular Integrodifferential Equations of Fredholm Type. Tatra Mountains Mathematical Publications, 2008, roč. 2007, č. 39, s. 255-263. ISSN: 1210- 3195.
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ŠMARDA, Z. Some properties of Fractional Integrals and Derivatives. In Proceedings Sixth International Conference on Soft Computing Applied in Computer and Economic Enviroments, ICSC 2008. Kunovice: 2008. s. 229-234. ISBN: 978-80-7314-134- 9.
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ŠMARDA, Z.; KRUPKOVÁ, V. Periodic Solutions of Volterr integrodifferential Equations with Difference K ernel. In Proceedings Sixth International Conference on Soft Computing Applied in Computer and Economic Enviroments, ICSC 2008. Kunovice: 2008. s. 217-222. ISBN: 978-80-7314-134- 9.
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ŠMARDA, Z.; FAJMON, B. Application of Laplace Transform to Fractional Calculus. In Proceedings Sixth International Conference on Soft Computing Applied in Computer and Economic Enviroments, ICSC 2008. Kunovice: 2008. s. 105-110. ISBN: 978-80-7314-134- 9.
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ŠMARDA, Z. Existence and uniqueness of solutions of Volterra integrodifferential equations with unbounded delay II. Journal of Applied Mathematics, 2008, roč. 2008, č. 1, s. 235-241. ISSN: 1337- 6365.
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ŠMARDA, Z. Existence and uniqueness of solutions of Volterra integrodifferential equations with an unbounded delay I. In Proceedings of 7th International Conference APLIMAT 2008. Bratislava: 2008. s. 309-314. ISBN: 978-80-89313-03- 7.
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ŠMARDA, Z. Modification of Wazewki' s theorem for integrodiffrential equations. International Journal of Pure and Applied Mathematics, 2008, roč. 41, č. 4, s. 519-528. ISSN: 1311- 1728.
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BAŠTINEC, J.; DIBLÍK, J.; ŠMARDA, Z. Positive solutions of delayed discrete equations. International Journal of Pure and Applied Mathematics, 2008, roč. 41, č. 4, s. 529-538. ISSN: 1311- 1728.
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2007
ŠMARDA, Z., KRUPKOVÁ, V. Modified variational principle for Electromagnetics. Brno: University of Defence, 2007. s. 41 ( s.)
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ŠMARDA, Z. Integral equations with difference kernels on finite intervals. Brno: University of Defence, 2007. s. 47 ( s.)
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ŠMARDA, Z. Existence principles for integral equations on compact intervals. In Thesis of Conference reports. Kyiv , Ukrajina: Kyivskij nacionalnyj universitet, 2007. s. 158 ( s.)ISBN: 966-7652-00- 9.
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DIBLÍK, J.; SVOBODA, Z.; ŠMARDA, Z. Explicit Criteria for the Existence of Positive Solutions for one Scalar Differential Equation with Variable Delay in the Critical Case. In Dynamical System, Modelling and Stability Investigation. Kyiv, Ukraine: Kyiv State University, 2007. s. 136-137. ISBN: 966-7652-00- 9.
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ŠMARDA, Z. Existence of solutions of Volterra integrodifferential equations using Tychonoff' s fixed point theorem. In Proceedings of 5th Conference on Education of Mathematics and Physics. Brno: Univerzita obrany, 2007. s. 357-361. ISBN: 978-80-7231-274- 0.
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ŠMARDA, Z., FAJMON, B. Linear variation of parameters for integrodifferential equations. In Proceedings of 5 th Conference on Education of Mathematics and Physics. Brno: Univerzita obrany, 2007. s. 57-61. ISBN: 978-80-7231-274- 0.
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BAŠTINEC, J.; DIBLÍK, J.; ŠMARDA, Z. Existence of Positive Solutions of Discrete Equations. In 6. matematický workshop, CD Rom. Brno: FAST VUT, 2007. s. 1-6. ISBN: 80-214-2741- 8.
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BAŠTINEC, J.; DIBLÍK, J.; ŠMARDA, Z. Existence of Positive Solutions of Discrete Delaed Equations. Brno: FAST VUT, 2007. s. 19-20.
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BAŠTINEC, J.; HLAVIČKOVÁ, I.; ŠMARDA, Z. Softwarová podpora předmětu Diferenciální rovnice a jejich použití v elektrotechnice. In 6. Matematický workshop. Brno: FAST VUT, 2007. s. 1-8. ISBN: 80-214-2741- 8.
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BAŠTINEC, J.; HLAVIČKOVÁ, I.; ŠMARDA, Z. Softwarová podpora výuky předmětu "Diferenciální rovnice a jejich použití v elektrotechnice". Brno: FAST VUT, 2007. s. 109-110.
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ŠMARDA, Z. Monotone Iterative technique for Integrodifferential Equations. In Proceedings of the sixth international mathematical Workshop. Brno: FAST VUT v Brně, 2007. s. 53-54. ISBN: 80-214-2741- 8.
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ŠMARDA, Z.; FAJMON, B. Stability of Linear Convolution Systems. In Proceedings of the Sixth International Mathematical Workshop. Brno: FAST VUT v Brně, 2007. s. 27-28. ISBN: 80-214-2741- 8.
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ŠMARDA, Z. Another Applications of Wazewkis Topological Method to Integrodifferential Equations. Bratislava: Slovak University of technology, 2007. s. 99 ( s.)
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ŠMARDA, Z., FAJMON, B. Generalized solutions of integral equations. In Proceedings of ICSC- Fifth International Conference on Soft Computing Applied in Computer and Economic Enviroments. EPI Kunovice: EPI Kunovice, 2007. s. 109 ( s.)ISBN: 80-7314-108- 6.
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ŠMARDA, Z. Convolution Equations of Volterra type. In Proceedings of ICSC- Fifth International Conference on Soft Computing Applied in Computer and Economic Enviroments. EPI Kunovice: EPI Kunovice, 2007. s. 119 ( s.)ISBN: 80-7314-108- 6.
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ŠMARDA, Z. Regular perturbation theory for initial value problems. In Proceedings of ICSC - Fifth International Conference on Soft Computing Applied in Computer and Economic Enviroments. EPI Kunovice: EPI Kunovice, 2007. s. 123 ( s.)ISBN: 80-7314-108- 6.
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ŠMARDA, Z., KRUPKOVÁ, V. Variational Principles for Electromagnetics. In Proceedings of ICSC- Fifth International Conference on Soft Computing Applied in Computer and Economic Enviroments. EPI Kunovice: EPI Kunovice, 2007. s. 115-119. ISBN: 80-7314-108- 6.
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ŠMARDA, Z. Asymptotic stability of solutions of nonlinear Volterra integrodifferential equations. Department of Mathematics Report Series, 2007, roč. 14, č. 1, s. 245 ( s.)ISSN: 1214- 4681.
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ŠMARDA, Z. A singular initial value problem for implicit integrodifferential equations. Journal of Basic Science, 2007, roč. 3, č. 2, s. 25 ( s.)ISSN: 1735- 0611.
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ŠMARDA, Z., FAJMON, B. Estimates of solutions of Volterra Integral equations with singular kernels. In Proceedings of electronic version of reviewed contribution. Brno: UNOB Brno, 2007. s. 1 ( s.)ISBN: 978-80-7231-228- 3.
Detail
ŠMARDA, Z. Modified variational principle for electromagnetics. In Proceedings of electronic version of reviewed contribution. Brno: University of Defence, 2007. s. 1 ( s.)ISBN: 978-80-7231-228- 3.
Detail
ŠMARDA, Z. Integral equations with difference kernels on finite intervals. In Proceedings of electronic version of reviewed contribution. Brno: University of Defence, 2007. s. 1 ( s.)ISBN: 978-80-7231-228- 3.
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ŠMARDA, Z., FAJMON, B. Estimates of solutions of volterra equations with singular kernels. Brno: University of Defence, 2007. s. 35 ( s.)
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2006
Zdeněk Šmarda Břetislav Fajmon. On some applications of Lyapunov functions. In Proceedings of 5 th International Mathematical Workshop. FAST VUT, Brno: FAST VUT, 2006. s. 47 ( s.)ISBN: 80-214-3282- 9.
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ŠMARDA, Z. On singular initial value problem for nonlinear Fredholm integrodifferential equations. Fasciculi Mathematici, 2006, roč. 1, č. 37, s. 77 ( s.)ISSN: 0044- 4413.
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ŠMARDA, Z. Existence and Uniqueness of Solutions of Nonlinear Integrodifferential Equations. Journal of Applied Mathematics, Statistics and Informatics., 2006, roč. 1, č. 2, s. 73 ( s.)ISSN: 1336- 9180.
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ŠMARDA, Z. Periodic solutions of operator equations. In Proceedings of 8 th International conference Methods Lyapunov functions and their applications. Alušta, Krym: 2006. s. 210 ( s.)ISBN: 966-8180-52- 6.
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ŠMARDA, Z. Implicit Singular Integrodifferential Equations of Fredholm Type Depending on a Parameter. Faculty of Science, University of Žilina: 2006. s. 48 ( s.)
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Zdeněk Šmarda. Singular Perturbed Integrodifferential Equations. Proceedings of Abstracts and Electronic Reviewed Contributions on CD- ROM. Brno: UO Brno, 2006. s. 42 ( s.)ISBN: 80-7231-139- 5.
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Zdeněk Šmarda. Singular Perturbed Integrodifferential Equations. In Proceedings of Abstracts and Electronic Reviewed Contribuctions on CD- ROM. Brno: UO Brno, 2006. s. 1 ( s.)ISBN: 80-7231-139- 5.
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Zdeněk Šmarda, Vlasta Krupková. Discretization of the Grunwald- Latnikov Fractional Derivative and Integral. Proceedings of Abstracts and Electronic Reviewed Contributions on CD- ROM. Brno: UO Brno, 2006. s. 38 ( s.)ISBN: 80-7231-139- 5.
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Zdeněk Šmarda, Vlasta Krupková. Discretization of the Grunwald- Letnikov fractional Derivative and Integral. In Proceedings of Abstracts and reviewed contributions on CD- ROM. Brno: Brno, 2006. s. 1-6. ISBN: 80-7231139- 5.
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Zdeněk Šmarda, Břetislav Fajmon. Existence Theory for Operator Equations. Proceedings of abstracts and electronic version of reviewed contributions. Brno: UO Brno, 2006. s. 34 ( s.)ISBN: 80-7231-139- 5.
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Zdeněk Šmarda, Břetislav Fajmon. Existence Theory for Operator Equations. In Proceedings of abstract and electronic version of reviewed contributions on CD/ROM. 1. Brno: University of Defence Faculty of Economics and Management, 2006. s. 1 ( s.)ISBN: 80-7231-139- 5.
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Zdeněk Šmarda, Vlasta Krupková. On Some Properties of Fractional Calculus. In Proceedings of IV. International Conference on Soft Computing Applied in Computer and Economic Enviroment. 1. Kunovice: European Polytechnical Institute Kunovice, 2006. s. 157 ( s.)ISBN: 80-7314-084- 5.
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ŠMARDA, Z. On the Stability of Linear Integrodifferential Equations. In Proceedings of IV. International Conference on Soft Computing Applied in Computer and Economic Enviroment. Kunovice: European Polytechnical institute, s r.o., 2006. s. 163-168. ISBN: 80-7314-084- 5.
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Zdeněk Šmarda. Polifacial Set for ID equations. Book of Abstract. Bratislava: 2006. s. 84 ( s.)ISBN: 80-967305-7- 6.
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Zdeněk Šmarda. Generalized Polifacial Set for Integrodifferential Equations. In Proceedings the 5th Intrnatinal Conference APLIMAT 2006. Bratislava: 2006. s. 341 ( s.)ISBN: 80-967305-6- 8.
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Zdeněk Šmarda. 2006, roč. 2006, č. 2, s. 73 ( s.)ISSN: 80-89220-15- 0.
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ŠMARDA, Z. Singular periodic solutions of perturbed integrodiffential equations. In Proceedings of 5 th International Mathematical Workshop. Brno: FAST VUT, 2006. s. 105 ( s.)ISBN: 80-214-3282- 9.
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2005
Zdeněk Šmarda, Vlasta Krupková. Applications of Maxwell Equations to Solving of Certain Boundary Value Problem. In Proceedings of abstracts and electronic version of contributions on CD-ROM. Brno: University of Defence, Brno, 2005. s. 1 ( s.)ISBN: 80-85960-92- 3.
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Šmarda Zdeněk, Krupková Vlasta. Applicatons of Maxwell equation to solving of certain boundary value problem. Proceedings of abstracts. Brno FAST VUT: 2005. s. 34 ( s.)ISBN: 80-85960-91- 5.
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ŠMARDA, Z. The Schuder fixed point theorem and applications to Integral Equations. Proceedings of abstracts. Brno FAST VUT: 2005. s. 37 ( s.)ISBN: 80-85960-91- 5.
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ŠMARDA, Z. Periodic solutions of systems of integro- differential equations with a small parameter. Department of Mathematics Report Series, 2005, roč. 2004, č. Vol. 12, s. 61 ( s.)ISSN: 1214- 4681.
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Zdeněk Šmarda. Boundary value problems. In Proceedings of the 4th International Mathematical Workshop. 1. Brno: FAST VUT Brno, 2005. s. 97 ( s.)ISBN: 80-214-2998- 4.
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Vlasta Krupková, Zdeněk Šmarda. Maxwell's equations in the case of the semi- infinite cylinder. In Proceedings of the 4th International Mathematical Workshop. 1. Brno: FAST VUT Brno, 2005. s. 71 ( s.)ISBN: 80-214-2998- 4.
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Břetislav Fajmon, Zdeněk Šmarda. Application of the Leray- Schauder Nonlinear Alternative. In Proceedings of the 4th International Mathematical Workshop. 1. Brno: FAST VUT Brno, 2005. s. 37 ( s.)ISBN: 80-214-2998- 4.
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ŠMARDA, Z. Fractional calculus and convolution equations. In Proceedings of the 4th International Conference about Mathematics and Physics. Brno: Universita obrany, Fakulta vojenských technologií., 2005. s. 192 ( s.)ISBN: 80-85960-91- 5.
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ŠMARDA, Z. Eigenvalue problem for Linear Compact Symmetric Operators. In Thesis of Conference Reports. 1. Kiev, Ukrajina: 2005. s. 154 ( s.)ISBN: 966-76-52-00- 9.
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ŠMARDA, Z. The Schauder Fixed Point Theorem and Applications to Integral Equations. In Proceedings of abstracts and electronic version of contributions on CD-ROM. 1. Brno, University of | Defence: Brno, University of Defence, 2005. s. 1 ( s.)ISBN: 80-85960-92- 3.
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ŠMARDA, Z. A Nonlinear Control Problem. In Proceedings of International Conference "University as Facilities of advancement of Community and Region. Kunovice: European Polytechnical Institute Kunovice, 2005. s. 357 ( s.)ISBN: 80-7314-052- 7.
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ŠMARDA, Z. Wazewski's topological method for integro-differential equations. Book of Abstracts. 1. Bratislava: Faculty of Mechanical Engineering Slovak Universitz of Technology in Bratislava, 2005. s. 79 ( s.)ISBN: 80-969264-4- 6.
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ŠMARDA, Z. Topological method for integro-differential equations. In Proceedings from 4th International Conference APLIMAT 2005. Part II. Bratislava: Faculty of Mechanical Engineering Slovak University of Technology, 2005. s. 143 ( s.)ISBN: 80-969264-2- X.
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ŠMARDA, Z. Počítačové učebny ústavu matematiky a ústavu jazyků. 2005. s. 1 ( s.)
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2004
ŠMARDA, Z. Singular Initial Value problem for Nonlinear Integro-Differential Equations. Studies of the University of Žilina, 2004, roč. 2003, č. 1, s. 137 ( s.)ISSN: 1336- 149X.
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ŠMARDA, Z. Periodic Solutions of Systems of Integro- Differential Equations. Department of Mathematics Report Series, 2004, roč. 1, č. 11, s. 301 ( s.)ISSN: 1214- 4681.
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ŠMARDA, Z. Duhamels Integral and its Application to Solving of Dynamical Systems. In Proceedings of XXII. International Conference on Education Process. Vyškov: Vysoká škola pozemního vojska ve Vyškově, 2004. s. 1 ( s.)ISBN: 80-7231-116- 6.
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ŠMARDA, Z. Some Topological concepts for Integro-Differential Equations. In Proceedings of the 7 th International Summer School Liapunov's functions and their applications. 1. Alušta: Simferopol, Alušta, Krym, 2004. s. 174 ( s.)ISBN: 80-7231-139- 5.
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ŠMARDA, Z., RŮŽIČKOVÁ, I. Vybrané partie z matematiky. Brno: 2004. s. 1 ( s.)
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ŠMARDA, Z. Stability of Fredholm's Integro-differential Equations. In Sborník 3. Mezinárodního matematického workshopu. 1. Brno: FAST VUT v Brně, 2004. s. 95 ( s.)ISBN: 80-214-2741- 8.
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ŠMARDA, Z. Some Questions of a Behaviour of Integro- Differential Equations. In Proceedings of the 3 th International Conference Aplimat. Part II. Bratislava, Slovak Republic: Department of Mathematics Faculty of Mechanical Engineering Slovak University of Technology in Bratislava., 2004. s. 919 ( s.)ISBN: 80-227-1995- 1.
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2003
ŠMARDA, Z. Boundary-layer solutions of system of integro- differential equations. In Proceedings of International conference Modelling and Stability. Kijev: 2003. s. 142 ( s.)ISBN: 80-7231-139- 5.
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ŠMARDA, Z. Cauchy problem for singular integro- differential equations. In Proceedings of International Conference on Differential Equations and Applications. Faculty of Science, University of Žilina I. Žilina: 2003. s. 28 ( s.)ISBN: 80-7231-139- 5.
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ŠMARDA, Z. Implicit Singular System of nonlinear integro-differential equations depending on a parameter. In The second international mathematical workshop. Brno: Terra computer systems, 2003. s. 1 ( s.)ISBN: 80-86433-28- 5.
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ŠMARDA, Z. Some Methods of Solving of Dynamical Systems in Electrical Engineering. In Proceedings of XXI th International colloquium on Education Process. Vyškov: 2003. s. 1 ( s.)ISBN: 80-7231-105- 0.
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ŠMARDA, Z. Singular problem for nonlinear integro-differential equations depending on a parameter. In Proceedings of the International Conference Mathematical and Computer Modelling in Science and Engineering. 2003. s. 355 ( s.)ISBN: 80-7015-912- X.
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2002
ŠMARDA, Z. Dynamické systémy,impulzní a váhová funkce, nový kurz PDS. 2002.
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ŠMARDA, Z. Singular initial value problem for nonlinear integro- differential equations. In 1. Mezinárodní matematický workshop. Brno: TERRA computer systems, Olomoucká 81, Brno, 2002. s. 101 ( s.)ISBN: 80-7231-139- 5.
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ŠMARDA, Z. On an initial value problem for singular integro- differential equations. 2002, s. 803 ( s.)
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ŠMARDA, Z. On an initial value problem for singular integro- differential equations. Demonstratio Mathematicae, 2002, roč. XXXV, č. 4, s. 803 ( s.)ISSN: 0420- 1213.
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2001
DIBLÍK, J.; BAŠTINEC, J.; ŠMARDA, Z. Convergence tests for one scalar differential equation with vanishing delay. ARCHIVUM MATHEMATICUM, 2001, roč. 36, č. 3, s. 405-420. ISSN: 0044- 8753.
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BAŠTINEC, J.; DIBLÍK, J.; ŠMARDA, Z. Convergence test for one scalar differential equations with vanishing delay. ARCHIVUM MATHEMATICUM, 2001, roč. 2000, č. 36, s. 405-414. ISSN: 0044- 8753.
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ŠMARDA, Z. Mouffak Benchohra: On initial value problem for integro-differential equation. Analele Stiintifice Ale Universitatii Al.I.CUZA. Université de Sidi Bel Abbés, ALGÉRIE: 2001. s. 297 ( s.)
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ŠMARDA, Z. Kapshaev,I.R: On an estimate of the difference for an integro-partial differential equation with a small parameter multiplying the highest derivative. 2001.
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2000
ŠMARDA, Z. Benchohra N,Ntouyas,S.K:Existence results for neutral functional differential inclusions in Banach spaces. Electron. J.Differential Equations 2000. USA: 2000.
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ŠMARDA, Z. Kasymov,K.A. Dauylbaev,M.K. On an estimates for solutions of the Cauchy problem with an arbitrary- order initial jump fpr linear singularly perturbed integro-differential equations. 2000.
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1999
ŠMARDA, Z. Asymptotic expansions of a solution of a nonlinear integro- differential equations with a small parameter. In The tenth international colloquium on differential equations. Plovdiv, Bulharsko: Bulharská akademie věd, 1999. s. 160 ( s.)
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ŠMARDA, Z. Asymptotic methods of a solution for systems of nonlinear integro- differential equations with a small parameter. In Dynamical system, modelling and stability investigation. Kiev, Ukrajina: Kiev University, Ukrajina, 1999. s. 114 ( s.)ISBN: 5-966-581-.
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ŠMARDA, Z. Daulbaev,M.K: On the estimation of the solutions of the Cauchy problem with an initial junp of the (n-2) order for linear singularly perturbed integro-differential equations of any order. Vestn.Minister.Nauki Akad. Resp. Kaz. Almaata, Kazachstán: 1999.
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1998
ŠMARDA, Z. On solutions of an implicit singular system of integro- differential equations depending on a parameter. Demonstratio Mathematicae, 1998, roč. 31, č. 1, s. 125 ( s.)ISSN: 0420- 1213.
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ŠMARDA, Z. Docentská habilitační práce Doc.RNDr.Václava Tryhuka,CSc. ÚMAT FAST VUT Brno. 1998.
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ŠMARDA, Z. Initial and limit problems for nonlinear partial integro- differential equations. In Ninth International Colloquium on Differential Equations. Plovdiv: BAV Sofia, 1998. s. 180 ( s.)
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1997
ŠMARDA, Z. Asymptotic curves of nonlinear integro- differential equations. In Abstract Modelling and investigation of systemsstability, Kijev 1997. Kijev. Technical university, 1997. s. 107 ( s.)
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ŠMARDA, Z. Asymptotic curves of nonlinear integro-differential equations of the n-th order. In Abstract of invited and short communicationsdelivered at the eight international colloquiumon differential equations. Plovdiv: BAV Plovdiv., 1997. s. 28 ( s.)
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ŠMARDA, Z. Kvalitativní chování řešení obyčejných diferenciálních a funkcionálně-diferenciálních rovnic popisujících jevy v elektrotechnice. 1997.
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ŠMARDA, Z. Singular implicit system of integro-differential equations depending on a parameter. In Workshop 97. Praha: 1997. s. 27 ( s.)
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1996
ŠMARDA, Z. Existence of solutions of functional integro- differential equations. In Modelling and Stability. Kijev: Kijev. university, 1996. s. 112 ( s.)
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ŠMARDA, Z. On a initial value problem for system of integro/ differential equations. In Abstract of invited lectures and short communications delivered at th seventh international colloquium on Differential equations. Plovdiv 1996: BAV Sofie, 1996. s. 56 ( s.)
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1995
ŠMARDA, Z. Profesorská habilitační práce Prof.Josefa Diblíka,CSc. ÚMAT FEI VUT Brno. 1995.
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ŠMARDA, Z. Ona singular initial value problem for a system of integro-differential equations depending on a parameter. 1995, roč. 25, č. 2, s. 123 ( s.)
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1994
ŠMARDA, Z. Wazewski´s topologocal method for integro- differential equations. In Fifth International Colloquium on Diff. Equations. Plovdiv: BAV Sofie, 1994. s. 198 ( s.)
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ŠMARDA, Z. On stability of a system of integro- differential equations. In Modelling and stability. Kiev: Universita Kijev, 1994. s. 80 ( s.)
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ŠMARDA, Z. Existence a jednoznačnost řešení integro-diferenciálních rovnic II. In Sborník ÚMAT FEI VUT Brno. Brno: FEI VUT Brno, 1994.
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ŠMARDA, Z. Existence a jednoznačnost řešení integro-diferenciálních rovnic I. In Sborník ÚMAT FEI VUT Brno. Brno: FEI VUT Brno, 1994.
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1993
ŠMARDA, Z. Docentská habilitační práce Doc.RNDr.Josefa Diblíka,CSc. ÚMAT FEI Brno. 1993.
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ŠMARDA, Z. On a singular system of integrodifferential equations depending on a parameter. In Modelling and stability. Kijev: Universita Kijev, 1993. s. 127 ( s.)
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ŠMARDA, Z. O povedeniji rešenij sistemy integro- differencialnych uravnenij v okresnosti osoboj točki. Ukrainian Mathematical, 1993, roč. 1993, č. Tom 45, s. 1716 ( s.)ISSN: 0041- 5995.
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ŠMARDA, Z. Wazewského topologický princip pro systémy integro-diferenciálních rovnic II. In Sborník abstrakt KMA FE VUT. Brno: 1993. s. 2 ( s.)
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ŠMARDA, Z. Wazewského topologický princip pro systémy integro-diferenciálních rovnic I. In Sborník abstrakt KMA FEE VUT. Brno: 1993. s. 2 ( s.)
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1992
ŠMARDA, Z. Chybí název. 1992.
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ŠMARDA, Z. On a implicit system of integro- differential equations. In Third International Coloquium on Diff. Equations. Plovdiv, 1992: BAV Sofia, 1992. s. 72 ( s.)
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ŠMARDA, Z. The uniqueness of solutions of a singular problem for certain class of integro-differential equations. 1992, roč. 25, č. 4, s. 835 ( s.)
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ŠMARDA, Z. On the uniquenes of solution of the singular problem for certain class of integro- differential equations. 1992, roč. 25, č. 4, s. 835 ( s.)
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1991
ŠMARDA, Z. Singulární Cauchyho úloha pro integro- diferenciální rovnice. Habilitační práce. Brno: FEI VUT Brno, 1991.
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1990
ŠMARDA, Z. Disertační práce RNDr.Zdeňka Svobody , KMA VA Brno. 1990.
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ŠMARDA, Z. The existence and asymptotic behaviour of solutions of certain class of the integro- differential equations. 1990, roč. 26, č. 1, s. 7 ( s.)
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1989
ŠMARDA, Z. The asymptotic behaviour of solutions of the singular integro- differential equation. Demonstratio Mathematicae, 1989, roč. 22, č. 2, s. 293 ( s.)ISSN: 0420- 1213.
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ŠMARDA, Z. Asymptotické rozklady řešení systémů singulárních integro-diferenciálních rovnic. 1989, roč. 1989, č. No 2, s. 5 ( s.)
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ŠMARDA, Z. Existence a jednoznačnost řešení systémů integro- diferenciálních rovnic v okolí singulárního bodu. 1989, roč. 1989, č. No 1, s. 5 ( s.)
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ŠMARDA, Z. O povedeniji rešenij odnogo integro-differencialnogo uravnenija vblizi osoboj točki. 1989, roč. 1989, s. 208 ( s.)
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1988
ŠMARDA, Z. Konstrukce formálního řešení singulárních systémů integro-diferenciálních rovnic. 1988, roč. 1988, č. No 2, s. 71 ( s.)
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ŠMARDA, Z. Jednoznačnost řešení integro-diferenciálních rovnic splňujících jistý asymptotický tvar. 1988, roč. 1988, č. No 1, s. 5 ( s.)
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1987
ŠMARDA, Z. Asymptotický charakter řešení systémů integro-diferenciálních rovnic v okolí singulárního bodu. Disertační práce. Brno: VAAZ Brno, 1987.
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1986
ŠMARDA, Z. Konstrukce asymptotických rozkladů řešení integro- diferenciálních rovnic. 1986.
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ŠMARDA, Z. Singulární integro-diferenciální rovnice, rozklady řešení. 1986.
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ŠMARDA, Z. Konstrukce formálního řešení singulárních integro- diferenciálních rovnic. 1986.
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ŠMARDA, Z. Asymptotický charakter řešení integro-diferenciálních rovnic. 1986, roč. 1986, č. No 3, s. 41 ( s.)
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1985
ŠMARDA, Z. Rozšíření topologického principu T.Wazewského na systém integro- diferenciálních rovnic. Práce ke kandidátskému minimu. Brno: VA Brno, 1985.
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1984
ŠMARDA, Z. Parametrické cykly diferenciálních rovnic se zpožděným argumentem. 1984.
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