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 Li1 , Lifei Zhu2 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

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.