# American Institute of Mathematical Sciences

2009, 2009(Special): 315-321. doi: 10.3934/proc.2009.2009.315

## Stability properties and existence of almost periodic solutions of volterra difference equations

 1 Department of Information Science, Okayama University of Science, 1-1 Ridai-cho, Okayama 700-0005, Japan

Received  July 2008 Revised  April 2009 Published  September 2009

In order to obtain the existence of periodic and almost periodic solutions of Volterra difference equation: $x(n+1)=f(n,x(n))+\sum_{s=-\infty}^{n}F(n,s,x(n+s),x(n))$, we consider certain two stability properties, which are referred to as (K, $\rho$)-weakly uniformly asymptotically stable and (K, $\rho$)-uniformly asymptotically stable.
Citation: Yoshihiro Hamaya. Stability properties and existence of almost periodic solutions of volterra difference equations. Conference Publications, 2009, 2009 (Special) : 315-321. doi: 10.3934/proc.2009.2009.315
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