Publication results

• 2023

  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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  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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• 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 on Differential Equations and Mathematical Physics, 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

  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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  ČERMÁK, J.; JÁNSKÝ, J.; TOMÁŠEK, P. Two types of stability conditions for linear delay difference equations. Applicable Analysis and Discrete Mathematics, 2015, vol. 9, no. 4, p. 120-138. ISSN: 1452-8630.
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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

  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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  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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• 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. 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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  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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• 2006

  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. 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. 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. s. 1-6. ISBN: 80-86246-27-2.
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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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• 2005

  KUNDRÁT, P. Asymptotic properties of the discretized pantograph equation. Studia Universitatis Babes-Bolyai Mathematica, 2005, vol. L, no. 1, 8 p. ISSN: 0252-1938.
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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. 5 s. ISBN: 80-248-0951-6.
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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. 8 p. ISBN: 1-58488-536-X.
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  KUNDRÁT, P. Kvalitativní vlastnosti zobecněné rovnice pantografu. Vědecké spisy Vysokého učení technického v Brně Edice PhD Thesis, 2005, roč. 2007, č. 300, s. 1-18. ISSN: 1213-4198.
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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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• 2004

  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. 6 s. 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, 9 p. ISSN: 1085-3375.
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  KUNDRÁT, P. Numerické vyšetřování rovnice pantografu. In Sborník z 13. semináře Moderní matematické metody v inženýrství. Ostrava: VŠB - Technická univerzita Ostrava, 2004. 5 s. ISBN: 80-248-0736-X.
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• 2003

  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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  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. 6 p. ISBN: 80-227-1813-0.
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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. 5 s. ISBN: 80-248-0184-1.
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