International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 843695, 14 pages
doi:10.1155/2008/843695
Research Article
Existence and Global Exponential Stability of Periodic Solutions for General Neural Networks with Time-Varying Delays
Department of Mathematics, Honghe University, Mengzi, Yunnan 661100, China
Received 28 October 2007; Revised 1 February 2008; Accepted 14 April 2008
Academic Editor: Attila Gilanyi
Copyright © 2008 Xinsong Yang. 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 coincidence degree theorem and differential inequality techniques, sufficient conditions are obtained for the existence and global exponential stability of periodic solutions for general neural networks with time-varying (including bounded and unbounded) delays. Some known results are improved and some new results are obtained. An example is employed to illustrate our feasible results.