Electron. J. Diff. Eqns., Vol. 2005(2005), No. 12, pp. 1-6.

Existence and attractivity of periodic solutions to Cohen-Grossberg neural network with distributed delays

Yongkun Li, Lifei Zhu

Abstract:
We study the existence and exponential attractivity of periodic solutions to Cohen-Grossberg neural network with distributed delays. Our results are obtained by applying the continuation theorem of coincidence degree theory and a general Halanay inequality.

Submitted December 19, 2004. Published January 27,2005.
Math Subject Classifications: 34K13, 34K20, 92C05
Key Words: Cohen-Grossberg neural network; distributed delays; periodic solution; continuation theorem; coincidence degree theory; Halanay inequality

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Yongkun Li
Department of Mathematics, Yunnan University
Kunming, Yunnan 650091, China
email: yklie@ynu.edu.cn
Lifei Zhu
Department of Mathematics, Yunnan University
Kunming, Yunnan 650091, China

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