Advances in Difference Equations
Volume 2009 (2009), Article ID 495972, 13 pages
doi:10.1155/2009/495972
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
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 “ -cone,” we obtain the attracting and invariant sets of the equations.