Journal of Applied Mathematics
Volume 2012 (2012), Article ID 643418, 17 pages
http://dx.doi.org/10.1155/2012/643418
Research Article

Periodic Solutions of a Cohen-Grossberg-Type BAM Neural Networks with Distributed Delays and Impulses

Qiming Liu and Rui Xu

Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, China

Received 14 November 2011; Revised 27 December 2011; Accepted 27 December 2011

Academic Editor: Naseer Shahzad

Copyright © 2012 Qiming Liu and Rui 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 Cohen-Grossberg-type BAM neural networks with distributed delays and impulses are investigated in this paper. Sufficient conditions to guarantee the uniqueness and global exponential stability of the periodic solutions of such networks are established by using suitable Lyapunov function, the properties of M-matrix, and some suitable mathematical transformation. The results in this paper improve the earlier publications.