Asymptotic properties of solutions to nonautonomous Volterra difference systems with infinite delay
type: Item
instance of: scholarly article
title: Asymptotic properties of solutions to nonautonomous Volterra difference systems with infinite delay
zbMATH Open document ID: 1002.39007
DOI: 10.1016/S0898-1221(01)00186-9
publication date: 2002-06-13T00:00:00Z
review text: The authors show that under certain conditions there is a one-to-one correspondence between weighted bounded solutions of a linear nonautonomous Volterra difference system with infinite delay and its perturbed system. Under additional assumptions, this correspondence is elevated to asymptotic equivalence. On the other side, the authors prove the existence of weighted convergent solutions.
Mathematics Subject Classification ID: 39A11
zbMATH DE Number: 1755283
zbMATH Keywords: perturbation
zbMATH Keywords: weighted bounded solutions
zbMATH Keywords: linear nonautonomous Volterra difference system with infinite delay
zbMATH Keywords: asymptotic equivalence
zbMATH Keywords: weighted convergent solutions
author: Claudio Cuevas
author: Manuel Pinto
reviewed by: Wan-Tong Li
MaRDI profile type: Publication
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full work available at URL: s0898-1221(01)00186-9
OpenAlex ID: W1964849817
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 1755283