Detail publikačního výsledku

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

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

Originální název

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

Anglický název

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

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

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

Rok RIV

2023

Vydáno

15.06.2022

Nakladatel

Elsevier

Místo

Amsterdam

ISSN

0096-3003

Periodikum

APPLIED MATHEMATICS AND COMPUTATION

Svazek

425

Číslo

1

Stát

Spojené státy americké

Strany od

126533-1

Strany do

126533-18

Strany počet

18

URL

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

Plný text v Digitální knihovně

http://hdl.handle.net/