Weighted Asymptotically Periodic Solutions of Linear Volterra Difference Equations

Abstract

A linear Volterra difference equation of the form where x : ℕ 0 → ℝ , a : ℕ 0 → ℝ , K : ℕ 0 × ℕ 0 → ℝ and b : ℕ 0 → 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 is assumed. The results generalize some of the recent results.