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BAŠTINEC, J. DIBLÍK, J. PINELAS, S. VALA, J.
Original Title
Determining the initial data generating solutions with prescribed behaviour of a triangular system of linear discrete equations
Type
journal article in Web of Science
Language
English
Original 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
Authors
BAŠTINEC, J.; DIBLÍK, J.; PINELAS, S.; VALA, J.
Released
15. 6. 2022
Publisher
Elsevier
Location
Amsterdam
ISBN
0096-3003
Periodical
APPLIED MATHEMATICS AND COMPUTATION
Year of study
425
Number
1
State
United States of America
Pages from
126533-1
Pages to
126533-18
Pages count
18
URL
https://www.sciencedirect.com/science/article/pii/S0096300321006196?via%3Dihub