Journal of Applied Mathematics
Volume 2011 (2011), Article ID 510789, 14 pages
doi:10.1155/2011/510789
Research Article

Pseudo Almost-Periodic Solution of Shunting Inhibitory Cellular Neural Networks with Delay

Sunshine College, Fuzhou University, Fuzhou, Fujian, 350002, China

Received 28 June 2010; Accepted 29 July 2010

Academic Editor: Ivanka Stamova

Copyright © 2011 Haihui Wu. 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

Shunting inhibitory cellular neural networks are studied. Some sufficient criteria are obtained for the existence and uniqueness of pseudo almost-periodic solution of this system. Our results improve and generalize those of the previous studies. This is the first paper considering the pseudo almost-periodic SICNNs. Furthermore, several methods are applied to establish sufficient criteria for the globally exponential stability of this system. The approaches are based on constructing suitable Lyapunov functionals and the well-known Banach contraction mapping principle.