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

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

Applied Mathematics and Computation, 2022, vol. 425, issue C

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.

Keywords: Linear discrete equation; initial data; triangular system; algorithm; MATLAB program (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:425:y:2022:i:c:s0096300321006196

DOI: 10.1016/j.amc.2021.126533

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