Publications

• 2023

  TOMÁŠEK, P. ON EULER METHODS FOR CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS. Archivum Mathematicum, 2023, vol. 59, no. 3, p. 287-294. ISSN: 1212-5059.
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  TOMÁŠEK, P.; JÁNSKÝ, J. On complex trinomial roots distribution. Mathematics for applications, 2023, vol. 12, no. 1, p. 49-58. ISSN: 1805-3610.
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• 2020

  TOMÁŠEK, P. Stability and Instability Regions for a Three Term Difference Equation. In Difference Equations and Discrete Dynamical Systems with Applications. ICDEA 2018. Springer Proceedings in Mathematics & Statistics. Springer Proceedings in Mathematics & Statistics. Cham: Springer, 2020. p. 355-364. ISBN: 978-3-030-35501-2. ISSN: 2194-1009.
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• 2017

  TOMÁŠEK, P. Visualization and analysis of stability regions of certain discretization of differential equation with constant delay. Memoirs Diff. Equat. Math. Phys, 2017, vol. 2017, no. 72, p. 131-139. ISSN: 1512-0015.
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• 2016

  TOMÁŠEK, P. Asymptotic stability regions for certain two parametric full-term linear difference equation. In Differential and Difference Equations with Applications. Springer Proceedings in Mathematics & Statistics. Springer Proceedings in Mathematics and Statistics. New York: Springer, 2016. p. 323-330. ISBN: 978-3-319-32855-3. ISSN: 2194-1009.
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• 2015

  ČERMÁK, J.; JÁNSKÝ, J.; TOMÁŠEK, P. Two types of stability conditions for linear delay difference equations. APPL ANAL DISCR MATH, 2015, vol. 9, no. 4, p. 120-138. ISSN: 1452- 8630.
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  TOMÁŠEK, P. Asymptotic stability of a full term linear difference equation with two parameters. Tatra Mountains Mathematical Publications, 2015, vol. 63, no. 1, p. 283-290. ISSN: 1210-3195.
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• 2014

  ČERMÁK, J.; TOMÁŠEK, P. On delay-dependent stability conditions for a three- term linear difference equation. Funkcialaj Ekvacioj Serio Internacia, 2014, vol. 57, no. 1, p. 91-106. ISSN: 0532- 8721.
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• 2013

  TOMÁŠEK, P. An asymptotic estimate for linear delay differential equations with power delayed arguments. Advances in Dynamical Systems and Applications (ADSA), 2013, vol. 8, no. 2, p. 379-386. ISSN: 0973- 5321.
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  HRABALOVÁ, J.; TOMÁŠEK, P. On stability regions of the modified midpoint method for a linear delay differential equation. Advances in Difference Equations, 2013, vol. 2013, no. 177, p. 1-10. ISSN: 1687- 1847.
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• 2012

  ČERMÁK, J.; JÁNSKÝ, J.; TOMÁŠEK, P. On necessary and sufficient conditions for the asymptotic stability of higher order linear difference equations. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2012, vol. 18, no. 11, p. 1781-1800. ISSN: 1023- 6198.
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• 2011

  KUNDRÁT, P.; JÁNSKÝ, J. The stability analysis of a discretized pantograph equation. Mathematica Bohemica, 2011, vol. 136, no. 4, p. 385-394. ISSN: 0862- 7959.
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  KUNDRÁT, P. Asymptotic estimate for differential equation with power coefficients and power delays. Tatra Mountains Mathematical Publications, 2011, vol. 48, no. 7, p. 91-99. ISSN: 1210- 3195.
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• 2010

  KUNDRÁT, P. Discretized pantograph equation with a forcing term: Note on asymptotic estimate. In DISCRETE DYNAMICS AND DIFFERENCE EQUATIONS Proceedings of the Twelfth International Conference on Difference Equations and Applications. London: World Scientific Publishing Co., 2010. p. 307-312. ISBN: 978-981-4287-64- 7.
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• 2008

  ČERMÁK, J.; KUNDRÁT, P.; URBÁNEK, M. Delay equations on time scales: Essentials and asymptotics of solutions. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2008, vol. 14, no. 6, p. 567-580. ISSN: 1023- 6198.
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• 2007

  KUNDRÁT, P.; NECHVÁTAL, L. A few notes on fractional calculus. In 5. konference o matematice a fyzice na vysokých školách technických s mezinárodní účastí. Sborník příspěvků. Brno: Univerzita obrany, 2007. p. 195-203. ISBN: 978-80-7231-274- 0.
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  KUNDRÁT, P. Asymptotic estimation of the discrete pantograph equation with a forcing term. In Folia FSN Universitatis Masarykianae Brunensis, Mathematica, Colloquium on Differential and Difference Equations, CDDE 2006 Proceedings. Mathematica. Brno: Masaryk University, 2007. p. 101-106. ISBN: 978-80-210-4414- 2.
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• 2006

  KUNDRÁT, P. On the asymptotics of the difference equation with a proportional delay. Opuscula Mathematica, 2006, vol. 26, no. 3, p. 499-506. ISSN: 1232- 9274.
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  KUNDRÁT, P. On asymptotic properties of discretization of linear delay differential equation. Studies of the University of Žilina, 2006, vol. 20, no. 1, p. 39-46. ISSN: 1336- 149X.
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  KUNDRÁT, P. The asymptotic properties of solutions of linear delay differential equations. Mathematica Slovaca, 2006, vol. 56, no. 3, p. 349-360. ISSN: 0139- 9918.
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  KUNDRÁT, P. Mathematical modeling via delay differential equations. In Engineering Mechanics 2006. Praha: Institute of Theoretical and Applied Mechanics Academy of Sciences of the Czech Republic, 2006. p. 1-6. ISBN: 80-86246-27- 2.
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• 2005

  KUNDRÁT, P. Asymptotic properties of the discretized pantograph equation. Studia Universitatis Babes- Bolyai Mathematica, 2005, vol. L, no. 1, p. 77 ( p.)ISSN: 0252- 1938.
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  KUNDRÁT, P. Asymptotic properties of solutions of the difference equation \Delta x(t)=-ax(t)+bx(\tau(t)). In Proceedings of the Eighth International Conference on Difference Equations and Applications. Boca Raton: Chapman & Hall, 2005. p. 193 ( p.)ISBN: 1-58488-536- X.
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  ČERMÁK, J., KUNDRÁT, P. On the discretized pantograph equation. Inženýrská mechanika - Engineering Mechanics, 2005, vol. 12, no. A1, p. 203-210. ISSN: 1210- 2717.
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  KUNDRÁT, P. Kvalitativní analýza řešení rovnice pantografu. In Sborník ze 14. semináře Moderní matematické metody v inženýrství. Ostrava: VŠB - Technická univerzita Ostrava, 2005. p. 121 ( p.)ISBN: 80-248-0951- 6.
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  KUNDRÁT, P. Kvalitativní vlastnosti zobecněné rovnice pantografu. Vědecké spisy Vysokého učení technického v Brně , Edice PhD Thesis, 2005, vol. 2007, no. 300, p. 1-18. ISSN: 1213- 4198.
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• 2004

  KUNDRÁT, P. Numerické vyšetřování rovnice pantografu. In Sborník z 13. semináře Moderní matematické metody v inženýrství. Ostrava: VŠB - Technická univerzita Ostrava, 2004. p. 116 ( p.)ISBN: 80-248-0736- X.
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  KUNDRÁT, P. O diskretizaci některých diferenciálních rovnic se zpožděným argumentem. In 3rd International Conference Aplimat. Bratislava: Dept. of Mathematics, Faculty of Mechanical Engineering, Slovak University of Technology in Bratislava, 2004. p. 615 ( p.)ISBN: 80-227-1995- 1.
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  ČERMÁK, J., KUNDRÁT, P. Linear differential equations with unbounded delays and a forcing term. Abstract and Applied Analysis, 2004, vol. 2004, no. 4, p. 337 ( p.)ISSN: 1085- 3375.
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• 2003

  KUNDRÁT, P. On the optimal control problem in flight dynamics. 2nd International Conference Aplimat. Bratislava: Department of Mathematics, Faculty of Mechanical Engineering, Slovak University of Technology in Bratislava, 2003. p. 485 ( p.)ISBN: 80-227-1813-0.
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  KUNDRÁT, P.; URBÁNEK, M. On a minimum time - energy control problem. In CONTROL APPLICATIONS OF OPTIMISATION 2003. Oxford, UK: Elsevier, 2003. p. 68-72. ISBN: 0-08-044074- 6.
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• 2002

  KUNDRÁT, P. Princip maxima v úlohách optimálního řízení. Sborník z 11. semináře Moderní matematické metody v inženýrství. Ostrava: VŠB - Technická univerzita Ostrava, 2002. p. 142 ( p.)ISBN: 80-248-0184-1.
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