Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 386706, 14 pages
http://dx.doi.org/10.1155/2012/386706
Research Article

Stability and Existence of Periodic Solutions for Cellular Neural Networks with State Dependent Delays on Time Scales

Yaping Ren1 and Yongkun Li2

1School of Statistics and Mathematics, Yunnan University of Finance and Economics, Yunnan, Kunming 650221, China
2Department of Mathematics, Yunnan University, Yunnan, Kunming 650091, China

Received 12 April 2012; Accepted 27 August 2012

Academic Editor: Josef Diblík

Copyright © 2012 Yaping Ren and Yongkun Li. 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

We study delayed cellular neural networks on time scales. Without assuming the boundedness of the activation functions, we establish the exponential stability and existence of periodic solutions. The results in this paper are completely new even in case of the time scale or and improve some of the previously known results.