Advances in Difference Equations
Volume 2009 (2009), Article ID 495972, 13 pages
doi:10.1155/2009/495972
Research Article

Asymptotic Behavior of Impulsive Infinite Delay Difference Equations with Continuous Variables

Zhixia Ma1 and Liguang Xu2

1College of Computer Science & Technology, Southwest University for Nationalities, Chengdu 610064, China
2Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, China

Received 3 June 2009; Accepted 2 August 2009

Academic Editor: Mouffak Benchohra

Copyright © 2009 Zhixia Ma and Liguang Xu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A class of impulsive infinite delay difference equations with continuous variables is considered. By establishing an infinite delay difference inequality with impulsive initial conditions and using the properties of “ϱ-cone,” we obtain the attracting and invariant sets of the equations.