Weighted Asymptotically Periodic Solutions of Linear Volterra Difference Equations

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 in...

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Bibliographic Details
Main Authors: Josef Diblík, Miroslava Růžičková, Ewa Schmeidel, Małgorzata Zbąszyniak
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/370982