Weighted Asymptotically Periodic Solutions of Linear Volterra Difference Equations

Josef Diblík, Miroslava Růžičková, Ewa Schmeidel and Małgorzata Zbąszyniak

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: A linear Volterra difference equation of the form x(n+1)=a(n)+b(n)x(n)+∑i=0nK(n,i)x(i), where x : ℕ0 → ℝ, a : ℕ0 → ℝ, K : ℕ0 × ℕ0 → ℝ and b : ℕ0 → ℝ∖{0} is ω‐periodic, is considered. Sufficient conditions for the existence of weighted asymptotically periodic solutions of this equation are obtained. Unlike previous investigations, no restriction on ∏j=0ω-1b(j) is assumed. The results generalize some of the recent results.

Date: 2011
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https://doi.org/10.1155/2011/370982

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:370982

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