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.
s. 400004-1 (400004-4 s.) ISBN: 9780735449541. ISSN: 0094-243X.
Detail Link2023
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, roč. 459, č. 12,
s. 1-14. ISSN: 0096-3003.
Detail LinkDIBLÍK, 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.
s. 370002-1 (370002-4 s.) ISSN: 0094-243X.
Detail Link2022
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.
s. 270010-1 (270010-4 s.) ISBN: 978-0-7354-4182-8. ISSN: 0094-243X.
Detail LinkHALFAROVÁ, 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.
s. 270009-1 (270009-4 s.) ISBN: 978-0-7354-4182-8. ISSN: 0094-243X.
Detail Link2020
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.
s. 340008-1 (340008-4 s.) ISBN: 978-0-7354-4025-8. ISSN: 0094-243X.
Detail Link2019
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, roč. 358, č. 10,
s. 363-381. ISSN: 0096-3003.
Detail LinkBAŠTINEC, 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.
s. 23-30. ISBN: 978-80-227-4884-1.
Detail2017
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, roč. 2017, č. 2017,
s. 1-10. ISSN: 1607-887X.
Detail Full text in Digital Libraly LinkHALFAROVÁ, 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.
s. 63-76. ISBN: 978-80-7582-026-6.
Detail LinkDIBLÍK, J.; HALFAROVÁ, H. Weakly delayed linear systems with variable coefficients. In Matematika, informační technologie a aplikované vědy. Brno: Univerzita obrany, 2017.
s. 1-16. ISBN: 978-80-7231-417-1.
Detail Link2015
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.
s. 111-117. ISBN: 978-1-61804-302- 3.
Detail LinkŠAFAŘÍK, 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.
s. 1-9. ISBN: 978-80-7231-998- 5.
Detail LinkDIBLÍK, 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.
s. 14-15. ISBN: 978-617-571-116- 3.
DetailDIBLÍK, J.; HALFAROVÁ, H.; ŠAFAŘÍK, J. Asymptotic Behavior of Solutions of Weakly Delayed Linear Discrete Systems in R^ 2. Pattaya, Thailand: 2015.
DetailŠAFAŘÍK, 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.
s. 105-121. ISBN: 978-80-7231-436- 2.
Detail Link2014
DIBLÍK, J.; HALFAROVÁ, H. General explicit solution of planar weakly delayed linear discrete systems and pasting its solutions. Abstract and Applied Analysis, 2014, roč. 2013, č. 1,
s. 1-37. ISSN: 1085-3375.
Detail Full text in Digital Libraly LinkDIBLÍK, J.; HALFAROVÁ, H.; ŠAFAŘÍK, J. Planar linear weakly delayed discrete systems with constant coefficients. In 46. konfeencia slovenských matematikov. Žilina: JSMF, 2014.
s. 25-27. ISBN: 978-80-554-0946- 7.
Detail2013
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.
DetailDIBLÍK, J.; HALFAROVÁ, H. Explicit general solution of planar linear discrete systems with constant coefficients and weak delays. Advances in Difference Equations, 2013, roč. 2013, č. 1,
s. 1-29. ISSN: 1687-1847.
Detail Full text in Digital Libraly Link2012
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.
DetailBAŠTINEC, 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.
DetailHALFAROVÁ, 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.
Detail2011
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.
s. 26-27. ISBN: 9667652009.
DetailŠMARDA, 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.
DetailDIBLÍK, J.; HALFAROVÁ, H. Discrete systems of linear equations with weak delay. In XXIX International Colloquium on the Management of Educational Process. Brno: 2011.
s. 1-4. ISBN: 978-80-7231-779- 0.
Detail