Electron. J. Diff. Eqns., Vol. 2009(2009), No. 99, pp. 1-9.

Existence and exponential stability for anti-periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays

Yuanheng Wu, Zhan Zhou

Abstract:
This article concerns anti-periodic solutions for shunting inhibitory cellular neural networks (SICNNs), with continuously distributed delays, arising from the description of the neurons state in delayed neural networks. Without assuming global Lipschitz conditions of activation functions, we obtain existence and local exponential stability of anti-periodic solutions.

Submitted July 25, 2009. Published August 19, 2009.
Math Subject Classifications: 34C25, 34K13, 34K25.
Key Words: Shunting inhibitory cellular neural networks; anti-periodic solution; exponential stability; continuously distributed delays.

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Yuanheng Wu
College of Mathematics and Information Sciences
Guangzhou University
Guangzhou 510006, China
email: wyhcd2006@yahoo.com.cn
Zhan Zhou
College of Mathematics and Information Sciences
Guangzhou University
Guangzhou 510006, China
email: zzhou@gzhu.edu.cn

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