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Asymptotic Behavior of Solutions to a Linear Volterra Integrodifferential System

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  • Yue-Wen Cheng
  • Hui-Sheng Ding

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.

Suggested Citation

  • Yue-Wen Cheng & Hui-Sheng Ding, 2013. "Asymptotic Behavior of Solutions to a Linear Volterra Integrodifferential System," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:245905
    DOI: 10.1155/2013/245905
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    References listed on IDEAS

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    1. Josef Diblík & Miroslava Růžičková & Ewa Schmeidel & Małgorzata Zbąszyniak, 2011. "Weighted Asymptotically Periodic Solutions of Linear Volterra Difference Equations," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-14, May.
    2. Josef Diblík & Miroslava Růžičková & Ewa Schmeidel & Małgorzata Zbąszyniak, 2011. "Weighted Asymptotically Periodic Solutions of Linear Volterra Difference Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
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