Weighted Asymptotically Periodic Solutions of Linear Volterra Difference Equations-Reference-Cited by-同舟云学术

Weighted Asymptotically Periodic Solutions of Linear Volterra Difference Equations

Published:2011 Issue: Volume:2011 Page:1-14
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Diblík Josef¹²,Růžičková Miroslava³,Schmeidel Ewa⁴,Zbąszyniak Małgorzata⁴

Affiliation:

1. Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Brno University of Technology, 66237 Brno, Czech Republic

2. Department of Mathematics, Faculty of Electrical Engineering and Communication, Brno University of Technology, 61600 Brno, Czech Republic

3. Department of Mathematics, University of Žilina, 01026 Žilina, Slovakia

4. Faculty of Electrical Engineering, Institute of Mathematics, Poznań University of Technology, 60965 Poznań, Poland

Abstract

A linear Volterra difference equation of the formx(n+1)=a(n)+b(n)x(n)+∑i=0nK(n,i)x(i),wherex:N0→R,a:N0→R,K:N0×N0→Randb:N0→R∖{0}isω-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.

Funder

Czech Grant Agency

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2011/370982.pdf

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