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

Autor:	S. Pinelas, Josef Diblík, Jaromír Baštinec, J. Vala
Rok vydání:	2022
Předmět:	Computational Mathematics Discrete equation Applied Mathematics Triangular systems Applied mathematics MATLAB computer computer.programming_language Mathematics
Zdroj:	Applied Mathematics and Computation. 425:126533
ISSN:	0096-3003
DOI:	10.1016/j.amc.2021.126533
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7ebfd41ce55dd95b7e2cf811cb887f1f https://doi.org/10.1016/j.amc.2021.126533 Zobrazit plný text záznamu Full Text from ScienceDirect