Brno University of Technology - Vnitřní projekty VUT

- whole funder (2020-01-01 - 2022-12-31)

FEKT-S-20-6225

Czech

Baštinec Jaromír, doc. RNDr., CSc. - fellow researcher
Diblík Josef, prof. RNDr., DrSc. - fellow researcher
Gavorová Zuzana, Ing. - fellow researcher
Korobko Evgeniya, Ph.D. - fellow researcher
Mencáková Kristýna, Mgr., Ph.D. - fellow researcher
Svoboda Zdeněk, doc. RNDr., CSc. - fellow researcher
Vážanová Gabriela, Mgr., Ph.D. - fellow researcher
Vyroubalová Jana, Ing. - fellow researcher
Šmarda Zdeněk, doc. RNDr., CSc. - principal person responsible

Department of Mathematics
- internal (2020-01-01 - 2022-12-31)
Faculty of Electrical Engineering and Communication
- beneficiary (2020-01-01 - 2022-12-31)

DIBLÍK, J.; MENCÁKOVÁ, K. Representation of solutions to delayed linear discrete systems with constant coefficients and with second-order differences. APPLIED MATHEMATICS LETTERS, 2020, vol. 105, no. 106309, p. 1-7. ISSN: 0893-9659.
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DIBLÍK, J.; KOROBKO, E. More on the Asymptotic Behaviour of Solutions to a Second Order Emden-Fowler Difference Equation. In AIP Conference Proceedings, Volume 3094, Issue 1, 7 June 2024, International Conference of Numerical Analysis and Applied Mathematics 2022, ICNAAM 2022. AIP conference proceedings. MELVILLE: AMER INST PHYSICS, 2024. p. 400002-1 (400002-4 p.)ISBN: 9780735449541. ISSN: 0094-243X.
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PISKOŘOVÁ, Z. Features of the linear operator in a process of computation of false positive detection in white matter tractography. Matematika, Informační technologie, aplikované vědy (MITAV 2020). 2020. p. 1-6. ISBN: 978-80-7582-307-6.
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KOROBKO, E. ON SOLUTIONS OF A DISCRETE EQUATION OF EMDEN-FOWLER TYPE. Brno: Vysoké učení technické v Brně, Fakulta elektrotechniky a komunikačních, 2020. p. 1-5.
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KOROBKO, E.; DIBLÍK, J. Power asymptotics of solutions to the discrete Emden-Fowler type Equation. In Matematika, Informační technologie a aplikované vědy (MITAV 2020). Brno: 2020. p. 1-10. ISBN: 978-80-7582-307-6.
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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, vol. 2020, no. 1, p. 1-13. ISSN: 1687-1847.
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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, vol. 2020, no. 564, p. 1-12. ISSN: 1687-1847.
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BAŠTINEC, J.; DIBLÍK, J.; KOROBKO, E. Determination of initial data generating (b, c)-bounded solutions of a triangular differential system of equations. Mathematics, Information Technologies and Applied Sciences 2020, post-conference proceedings of extended versions of selected papers. Brno: UNOB Brno, 2020. p. 7-19. ISBN: 978-80-7582-366-3.
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DIBLÍK, J.; KOROBKO, E. Solutions of perturbed second-order discrete Emden-Fowler type equation with power asymptotics of solutions. Mathematics, Information Technologies and Applied Sciences 2020, post-conference proceedings of extended versions of selected papers. Brno: UNOB Brno, 2020. p. 30-44. ISBN: 978-80-7582-366-3.
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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, vol. 2021, no. 1, p. 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, vol. 111, no. 106690, p. 1-8. ISSN: 0893-9659.
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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, vol. 270, no. 5, p. 573-595. ISSN: 0022-0396.
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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, vol. 44, no. 13, p. 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, vol. 2021, no. 1, p. 1-16. ISSN: 1687-1847.
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PISKOŘOVÁ, Z. Tracotgraphy sensitivity improvements: COMMIT2 linear operator properties. 2021.
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KOROBKO, E. ASYMPTOTIC CHARACTERIZATION OF SOLUTIONS OF EMDEN-FOWLER TYPE DIFFERENCE EQUATION. In Proceedings II of the 27th Conference STUDENT EEICT 2021 selected papers. 1. Brno: Brno University of Technology, Faculty of Electrical Engineering and Communication, 2021. p. 250-254. ISBN: 978-80-214-5943-4.
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BAŠTINEC, J.; DIBLÍK, J.; PISKOŘOVÁ, Z. BEHAVIOR OF SOLUTIONS OF NONLINEAR TRIANGULAR SYSTEMS OF DISCRETE EQUATIONS. In MITAV 2021. Brno: Universita obrany, 2021. p. 1-12. ISBN: 978-80-7582-380-9.
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PISKOŘOVÁ, Z. TRACTOGRAPHY SENSITIVITY IMPROVEMENTS: COMMIT2 LINEAR OPERATOR PROPERTIES. In MITAV 2021. Brno: Univrsita obrany, 2021. p. 1-6. ISBN: 978-80-7582-380-9.
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DIBLÍK, J.; KOROBKO, E. POWER ASYMPTOTICS OF SOLUTIONS TO THE DISCRETE EMDEN-FOWLER TYPE EQUATION. In MITAV 2021. Brno: Universita obrany, 2021. p. 1-11. ISBN: 978-80-7582-380-9.
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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, vol. 2021, no. 184, p. 1-12. ISSN: 1029-242X.
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ASTASHOVA, I.; DIBLÍK, J.; KOROBKO, E. Existence of a solution of discrete Emden-Fowler equation caused by continuous equation. Discrete and Continuous Dynamical Systems - Series S, 2021, vol. 14, no. 12, p. 4159-4178. ISSN: 1937-1632.
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KŘEHLÍK, Š.; NOVÁK, M.; VYROUBALOVÁ, J. From Automata to Multiautomata via Theory of Hypercompositional Structures. Mathematics, 2021, vol. 10, no. 1, p. 1-16. ISSN: 2227-7390.
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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, vol. 8, no. 3, p. 1537-1542. ISSN: 0018-9286.
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BAŠTINEC, J.; DIBLÍK, J.; PISKOŘOVÁ, Z. Bounded solutions to nonlinear triangular systems of discrete equations. In Mathematics, Information Technologies and Applied Sciences 021, post-conference proceedings of extended versions of selected papers. Brno: Univerzita obrany, 2021. p. 8-21. ISBN: 978-80-7582-441-7.
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DIBLÍK, J.; KOROBKO, E. On a discrete variant of the Emden-Fowler equation. In Mathematics, Information Technologies and Applied Sciences 2021, post-conference proceedings of extended versions of selected papers. Brno: Univerzita obrany, 2021. p. 42-54. ISBN: 978-80-7582-441-7.
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BAŠTINEC, J.; DIBLÍK, J.; PINELAS, S.; VALA, J. Determining the initial data generating solutions with prescribed behaviour of a triangular system of linear discrete equations. APPLIED MATHEMATICS AND COMPUTATION, 2022, vol. 425, no. 1, p. 126533-1 (126533-18 p.)ISSN: 0096-3003.
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DIBLÍK, J.; VÁŽANOVÁ, G. Lower and upper estimates of semi-global and global solutions to mixed-type functional differential equations. Advances in Nonlinear Analysis, 2022, vol. 11, no. 1, p. 757-784. ISSN: 2191-950X.
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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, vol. 2022, no. 1, p. 1-7. ISSN: 1029-242X.
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DIBLÍK, J.; RŮŽIČKOVÁ, M.; SCHMEIDEL, E. Równania różniczkowe zwyczajne I. Wydawnictwo Uniwersytetu w Białymstoku: 2021. 288 s. ISBN: 978-83-7431-725-2.
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BAŠTINEC, J.; DIBLÍK, J.; KOROBKO, E. Bounded Solutions of a Triangular System of Two Nonlinear Discrete Equations. In ICNAAM 2020 PROCEEDINGS - AIP CP Volume 2425. AIP conference proceedings. Melville (USA): AIP, 2022. p. 270008-1 (270008-4 p.)ISBN: 978-0-7354-4182-8. ISSN: 0094-243X.
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CHVALINA, J.; SMETANA, B.; VYROUBALOVÁ, J. Construction of an Infinite Cyclic Group Formed by Artificial Differential Neurons. Mathematics, 2022, vol. 10, no. 9, p. 1-13. ISSN: 2227-7390.
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DIBLÍK, J.; KOROBKO, E. Vanishing solutions of a second-order discrete non-linear equation of Emden-Fowler type. In Proceedings I of the 28th Conference STUDENT EEICT 2022 General papers. Proceedings II of the Conference STUDENT EEICT. 1. Brno: Vysoké učení technické v Brně, Fakulta elektrotechniky a komunikačních technologií, 2022. p. 363-367. ISBN: 978-80-214-6029-4. ISSN: 2788-1334.
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DIBLÍK, J.; KOROBKO, E. NEW CONDITIONS FOR EXISTENCE OF THE SOLUTION TO THE DISCRETE EMDEN-FOWLER TYPE EQUATION WITH POWER ASYMPTOTICS. Mathematics, Information Technologies and Applied Sciences 2022, post-conference proceedings. Brno: UNOB Brno, 2022. p. 1-11. ISBN: 978-80-7582-456-1.
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BAŠTINEC, J.; DIBLÍK, J.; PISKOŘOVÁ, Z. BOUNDED SOLUTIONS OF A SYSTEM OF TWO DISCRETE EQUATIONS. Matematika, informační technologie a aplikované vědy. Brno: UNOB, 2022. p. 1-10. ISBN: 978-80-7582-456-1.
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DIBLÍK, J.; KOROBKO, E. ON ANALOGUE OF BLOW-UP SOLUTIONS FOR A DISCRETE VARIANT OF SECOND–ORDER EMDEN–FOWLER DIFFERENTIAL EQUATION. International Conference on Mathematical Analysis and Applications in Science and Engineering – Book of Extended Abstracts. Porto, Portugal: 2022. p. 297-300. ISBN: 978-989-53496-3-0.
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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, vol. 2022, no. 1, p. 1-11. ISSN: 1029-242X.
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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, vol. 2022, no. 37, p. 1-17. ISSN: 1417-3875.
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PISKOŘOVÁ, Z. Tractograhy sensitivity improvements: Iterative method to reach pseudoinverse of the COMMIT2 matrix. Matematika, informační technologie a aplikované vědy. Brno: UNOB, 2022. ISBN: 978-80-7582-456-1.
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NOVÁK, V. Proceedings I of the 28th Conference STUDENT EEICT 2022 General papers. Proceedings I of the 28th Conference STUDENT EEICT 2022 General papers. 1. Brno: Brno University of Technology, Faculty of Electrical Engineering and Communication, 2022. ISBN: 978-80-214-6029-4.
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Methi, G.; Kumar, A.; Rebenda, J. Applications of the differential transformation to three-point singular boundary value problems for ordinary differential equations. Journal of Mathematics and Computer Science-JMCS, 2023, vol. 29 (2023), no. 1, p. 73-89. ISSN: 2008-949X.
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DIBLÍK, J.; RŮŽIČKOVÁ, M.; SCHMEIDEL, E. Równania różniczkowe zwyczajne II. Białystok: Wydawnictwo Uniwersytetu w Białymstoku, 2023. 162 s. ISBN: 978-83-7431-755-9.
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VÁŽANOVÁ, G. Solutions of an advance-delay differential equation and their asymptotic behaviour. Archivum Mathematicum, 2023, vol. 59, no. 1, p. 141-149. ISSN: 1212-5059.
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DIBLÍK, J.; SHATYRKO, A.; KHUSAINOV, D.; OLEKSII, B.; BAŠTINEC, J. Construction and Optimization of Stability Conditions of Learning Processes in Mathematical Models of Neurodynamics. In 9th International Scientific Conference "Information Technology and Implementation". CEUR Workshop Proceedings. CEUR-WS, 2022. p. 1-10. ISSN: 1613-0073.
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BAŠTINEC, J.; DIBLÍK, J. Bounded Particular Solution of a Non-homogeneous System of Two Discrete Equations. In AIP Conference Proceedings, Volume 3094, Issue 1, 7 June 2024, International Conference of Numerical Analysis and Applied Mathematics 2022, ICNAAM 2022. AIP conference proceedings. USA: American Institute of Physics, 2024. p. 400001-1 (400001-4 p.)ISBN: 9780735449541. ISSN: 0094-243X.
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DIBLÍK, J.; RODKINA, A.; ŠMARDA, Z. On local stability of stochastic delay nonlinear discrete systems with state-dependent noise. Applied Mathematics and Computation, 2020, vol. 374, no. 125019, p. 1-15. ISSN: 1873-5649.
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