Publications

• 2024

  DIBLÍK, J.; ŠAFAŘÍK, J.; BOHÁČKOVÁ, H. General Solution of a Three-dimensional Linear Difference System with a Delay. 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. 400004-1 (400004-4 p.)ISBN: 9780735449541. ISSN: 0094-243X.
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• 2023

  DIBLÍK, J.; HALFAROVÁ, H.; ŠAFAŘÍK, J. Two-parameters formulas for general solution to planar weakly delayed linear discrete systems with multiple delays, equivalent non-delayed systems, and conditional stability. APPLIED MATHEMATICS AND COMPUTATION, 2023, vol. 459, no. 12, p. 1-14. ISSN: 0096-3003.
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  DIBLÍK, J.; ŠAFAŘÍK, J.; HALFAROVÁ, H. Conditional stability of planar weakly delayed linear discrete systems with constant coefficients and a single delay. In AIP Conference Proceedings, International Conference on Numerical Analysis and Applied Mathematics 2021, ICNAAM 2021. AIP conference proceedings. Melville (USA): American Institute of Physics, 2023. p. 370002-1 (370002-4 p.)ISSN: 0094-243X.
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• 2022

  ŠAFAŘÍK, J.; DIBLÍK, J.; HALFAROVÁ, H. Solution of weakly delayed linear two-dimensional discrete systems with constant coefficients and multiple delays. In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2020. AIP conference proceedings. Melville (USA): American Institute of Physics, 2022. p. 270010-1 (270010-4 p.)ISBN: 978-0-7354-4182-8. ISSN: 0094-243X.
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  HALFAROVÁ, H.; DIBLÍK, J.; ŠAFAŘÍK, J. General solution to a weakly delayed planar linear discrete system, the case of real different eigenvalues of the matrix of nondelayed terms. In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2020. AIP conference proceedings. Melville (USA): American Institute of Physics, 2022. p. 270009-1 (270009-4 p.)ISBN: 978-0-7354-4182-8. ISSN: 0094-243X.
  Detail | WWW

• 2020

  HALFAROVÁ, H.; DIBLÍK, J.; ŠAFAŘÍK, J. On the number of arbitrary parameters in the general solution to a weakly delayed planar linear discrete system with constant coefficients. In Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2019 (ICNAAM-2019). AIP conference proceedings. Melville (USA): American Institute of Physics, 2020. p. 340008-1 (340008-4 p.)ISBN: 978-0-7354-4025-8. ISSN: 0094-243X.
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• 2019

  DIBLÍK, J.; HALFAROVÁ, H.; ŠAFAŘÍK, J. Formulas for the general solution of weakly delayed planar linear discrete systems with constant coefficients and their analysis. APPLIED MATHEMATICS AND COMPUTATION, 2019, vol. 358, no. 10, p. 363-381. ISSN: 0096-3003.
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  BAŠTINEC, J.; DIBLÍK, J.; HALFAROVÁ, H. Positive solutions of nonlinear discrete equations. In 18th conference on aplied mathematics. Aplimat 2019 Proceedings. Bratislava: Slovak University of Technology, 2019. p. 23-30. ISBN: 978-80-227-4884-1.
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• 2017

  DIBLÍK, J.; HALFAROVÁ, H.; ŠAFAŘÍK, J. Conditional Stability and Asymptotic Behavior of Solutions of Weakly Delayed Linear Discrete Systems in R^2. Discrete Dynamics in Nature and Society, 2017, vol. 2017, no. 2017, p. 1-10. ISSN: 1607-887X.
  Detail | WWW | Full text in the Digital Library

  HALFAROVÁ, H.; DIBLÍK, J. General Solution of Weakly Delayed Linear Systems with Variable Coefficients. In Mathematics, Information Technologies and Applied Sciences 2017. Brno: University of Defence, 2017. p. 63-76. ISBN: 978-80-7582-026-6.
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  DIBLÍK, J.; HALFAROVÁ, H. Weakly delayed linear systems with variable coefficients. In Matematika, informační technologie a aplikované vědy. Brno: Univerzita obrany, 2017. p. 1-16. ISBN: 978-80-7231-417-1.
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• 2015

  DIBLÍK, J.; HALFAROVÁ, H.; ŠAFAŘÍK, J. Conditional Stability of Weakly Delayed Planar Linear Discrete Systems. In Recent Advances in Mathematical and Computational Methods. Mathematics and Computers in Science in Science and Engineering Series | 44. Kuala Lumpur, Malaysia: WSEAS Press, 2015. p. 111-117. ISBN: 978-1-61804-302- 3.
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  ŠAFAŘÍK, J.; DIBLÍK, J.; HALFAROVÁ, H. Weakly Delayed Systems of Linear Discrete Equations in $R^3$. In MITAV 2015 (Matematika, informační technologie a aplikované vědy). Brno: Univerzita obrany v Brně, 2015. p. 1-9. ISBN: 978-80-7231-998- 5.
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  DIBLÍK, J.; ŠAFAŘÍK, J.; HALFAROVÁ, H. Representation of Solutions of Weakly Delayed Planar Discrete Systems. In Dynamical System, Modelling and Stability Investigation. 2015. Kyjev, Ukrajina: Taras Shevchenko National University of Kiev, 2015. p. 14-15. ISBN: 978-617-571-116- 3.
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  DIBLÍK, J.; HALFAROVÁ, H.; ŠAFAŘÍK, J. Asymptotic Behavior of Solutions of Weakly Delayed Linear Discrete Systems in R^ 2. Pattaya, Thailand: 2015.
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  ŠAFAŘÍK, J.; DIBLÍK, J.; HALFAROVÁ, H. Weakly Delayed Systems of Linear Discrete Equations in $R^3$. In MITAV 2015 (Matematika, informační technologie a aplikované vědy), Post- conference proceedings of extended versions of selected papers. Brno: Univerzita obrany v Brně, 2015. p. 105-121. ISBN: 978-80-7231-436- 2.
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• 2014

  DIBLÍK, J.; HALFAROVÁ, H. General explicit solution of planar weakly delayed linear discrete systems and pasting its solutions. Abstract and Applied Analysis, 2014, vol. 2013, no. 1, p. 1-37. ISSN: 1085-3375.
  Detail | WWW | Full text in the Digital Library

  DIBLÍK, J.; HALFAROVÁ, H.; ŠAFAŘÍK, J. Planar linear weakly delayed discrete systems with constant coefficients. In 46. konfeencia slovenských matematikov. Žilina: JSMF, 2014. p. 25-27. ISBN: 978-80-554-0946- 7.
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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, vol. 5, no. 2, p. 69-76. ISSN: 1337- 6365.
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  DIBLÍK, J.; HALFAROVÁ, H. Explicit general solution of planar linear discrete systems with constant coefficients and weak delays. Advances in Difference Equations, 2013, vol. 2013, no. 1, p. 1-29. ISSN: 1687-1847.
  Detail | WWW | Full text in the Digital Library

• 2012

  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. p. 147-152. ISBN: 978-80-89313-58- 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. p. 26-27. ISBN: 978-966-491-327- 7.
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  HALFAROVÁ, H.; ŠMARDA, Z. Differential transfom method for solving delay differential equations. In Modelling, Control and Stability. Krym, Simferopol: 2012. p. 26-27. ISBN: 978-966-491-327- 7.
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• 2011

  DIBLÍK, J.; HALFAROVÁ, H. Linear system of discrete equations with a weak delay. In Dynamical System Modelling and Stability Investigation. Kyjev, Ukrajina: University of Kyiv, UA, 2011. p. 26-27. ISBN: 9667652009.
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  ŠMARDA, Z.; HALFAROVÁ, H. On some applications of fractional calculus. In 10th International conference APLIMAT 2011. Bratislava: FME STU, 2011. p. 273-279. ISBN: 978-80-89313-51- 8.
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  DIBLÍK, J.; HALFAROVÁ, H. Discrete systems of linear equations with weak delay. In XXIX International Colloquium on the Management of Educational Process. Brno: 2011. p. 1-4. ISBN: 978-80-7231-779- 0.
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