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 |
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| 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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