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

journal article in Web of Science

English

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.

linear discrete equation; initial data; triangular system; algorithm; MATLAB program

BAŠTINEC, J.; DIBLÍK, J.; PINELAS, S.; VALA, J.

15. 6. 2022

Elsevier

Amsterdam

0096-3003

APPLIED MATHEMATICS AND COMPUTATION

425

1

United States of America

126533-1

126533-18

18

https://www.sciencedirect.com/science/article/pii/S0096300321006196?via%3Dihub