Abstract and Applied Analysis
Volume 2013 (2013), Article ID 701087, 10 pages
http://dx.doi.org/10.1155/2013/701087
Research Article

Periodic Solution for Impulsive Cellar Neural Networks with Time-Varying Delays in the Leakage Terms

Bingwen Liu1 and Shuhua Gong2

1College of Mathematics and Computer Science, Hunan University of Arts and Science, Changde, Hunan 415000, China
2College of Mathematics, Physics and Information Engineering, Jiaxing University, Jiaxing, Zhejiang 314001, China

Received 29 January 2013; Accepted 12 March 2013

Academic Editor: Chuangxia Huang

Copyright © 2013 Bingwen Liu and Shuhua Gong. 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

This paper is concerned with impulsive cellular neural networks with time-varying delays in leakage terms. Without assuming bounded and monotone conditions on activation functions, we establish sufficient conditions on existence and exponential stability of periodic solutions by using Lyapunov functional method and differential inequality techniques. Our results are complement to some recent ones.