Electron. J. Diff. Eqns., Vol. 2006(2006), No. 19, pp. 1-10.

Existence and stability of almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays

Qiyuan Zhou, Bing Xiao, Yuehua Yu

Abstract:
In this paper, we consider shunting inhibitory cellular neural networks (SICNNs) with continuously distributed delays. Sufficient conditions for the existence and local exponential stability of almost periodic solutions are established using a fixed point theorem, Lyapunov functional method, and differential inequality techniques. We illustrate our results with an example for which our conditions are satisfied, but not the conditions in [4,6,8].

Submitted December 3, 2005. Published February 7, 2006.
Math Subject Classifications: 34C25, s4K13, 34K25.
Key Words: Shunting inhibitory cellular neural networks; almost periodic solution; exponential stability; continuously distributed delays.

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Qiyuan Zhou
Department of Mathematics
Hunan University of Arts and Science
Changde, Hunan 415000, China
email: zhouqiyuan65@yahoo.com.cn
  Bing Xiao
Department of Mathematics
Hunan University of Arts and Science
Changde, Hunan 415000, China
email: changde1218@yahoo.com.cn
  Yuehua Yu
Department of Mathematics
Hunan University of Arts and Science
Changde, Hunan 415000, China
email: jinli127@yahoo.com.cn

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