International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 7, Pages 997-1005
doi:10.1155/IJMMS.2005.997

Existence and stability of periodic solutions for a class of generalized nonautonomous neural networks with distributed delays

Yongkun Li,1 Lifei Zhu,2 and Wenxiang Liu3

1Department of Mathematics, Yunnan University, Kunming 650091, Yunnan, China
2Department of Mathematics and Statistics, McGill University, Montreal H3A 2K6, QC, Canada
3Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton T6G 2G1, AB, Canada

Received 22 April 2004; Revised 28 February 2005

Copyright © 2005 Yongkun Li et al. 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

By using the continuation theorem of coincidence degree theory and Lyapunov functions, we study the existence and global stability of periodic solutions for a class of generalized nonautonomous neural networks with distributed delays.