Abstract and Applied Analysis
Volume 2009 (2009), Article ID 957475, 15 pages
doi:10.1155/2009/957475
Existence and exponential stability of periodic solution for a class of generalized neural networks with arbitrary delays
Yimin Zhang1
, Yongkun Li2
and Kuohui Ye2
1Department of Mathematics, Zhaotong Teacher's College, Zhaotong, Yunnan 657000, China
2Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, China
Abstract
By the continuation theorem of coincidence degree and M-matrix theory, we obtain some sufficient conditions for the existence and exponential stability of periodic solutions for a class of generalized neural networks with arbitrary delays, which are milder and less restrictive than those of previous known criteria. Moreover our results generalize and improve many existing ones.