Asymptotic behavior of solutions to a linear Volterra integrodifferential system
type: Item
instance of: scholarly article
title: Asymptotic behavior of solutions to a linear Volterra integrodifferential system
zbMATH Open document ID: 1293.45007
DOI: 10.1155/2013/245905
author: Yue-Wen Cheng
author: Hui-Sheng Ding
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: We investigate the asymptotic behavior of solutions to a linear Volterra integro-differential system \(x'_i(t)=a_i(t)+b_i(t)x_i(t)+\sum^n_{j=1}\int^t_0 K_{ij}(t,s)x_j(s)ds\), \(t\in\mathbb R^+\), \(i=1,2,\dots,n\). We show that under some suitable conditions, there exists a solution for the above integrodifferential system, which is asymptotically equivalent to some given functions. Two examples are given to illustrate our theorem.
Mathematics Subject Classification ID: 45M05
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45D05
Mathematics Subject Classification ID: 45F05
zbMATH DE Number: 6306557
zbMATH Keywords: asymptotic behavior
zbMATH Keywords: linear Volterra integro-differential system
Wikidata QID: Q58915648
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/245905
OpenAlex ID: W2158927920
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description: scientific article; zbMATH DE number 6306557