Asymptotic Behavior of Solutions to a Linear Volterra Integrodifferential System

Yue-Wen Cheng and Hui-Sheng Ding

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We investigate the asymptotic behavior of solutions to a linear Volterra integrodifferential system xi′(t)=ai(t)+bi(t)xi(t)+∑j=1n ∫0t Kij(t,s)xj(s)ds, t∈ℝ+, i = 1,2, …, 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.

Date: 2013
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https://doi.org/10.1155/2013/245905

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:245905

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