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Determining the initial data generating solutions with prescribed behaviour of a triangular system of linear discrete equations

Author

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  • Baštinec, J.
  • Diblík, J.
  • Pinelas, S.
  • Vala, J.

Abstract

Investigation of the asymptotic properties of solutions to systems of discrete equations is a topic of permanent interest. Numerous papers analyze the so-called prescribed behaviour of solutions giving sufficient conditions for the existence of at least one solution having a given asymptotic behaviour. To a smaller extent the problem is considered of determining the initial data generating such solutions. The present paper finds its niche being concerned with the case of a triangular system of linear discrete equations. The existence of solutions with a prescribed asymptotic behaviour is proved and algorithms suggested for computing stepwise the initial data defining such solutions and eventually suggesting these. Illustrative examples (supported with a MATLAB program) are considered and some open problems are formulated as well.

Suggested Citation

  • Baštinec, J. & Diblík, J. & Pinelas, S. & Vala, J., 2022. "Determining the initial data generating solutions with prescribed behaviour of a triangular system of linear discrete equations," Applied Mathematics and Computation, Elsevier, vol. 425(C).
    • Handle: RePEc:eee:apmaco:v:425:y:2022:i:c:s0096300321006196
    DOI: 10.1016/j.amc.2021.126533
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    References listed on IDEAS

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    1. Gabor, Grzegorz & Ruszkowski, Sebastian & Vítovec, Jiří, 2015. "Ważewski type theorem for non-autonomous systems of equations with a disconnected set of egress points," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 358-369.
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