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International Journal of Systems Science Volume 42, 2011 - Issue 7
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Original Articles

Anti-periodic solutions for a class of Cohen–Grossberg neural networks with time-varying delays on time scales

Yongkun Li Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, P.R. ChinaCorrespondence[email protected]
,
Li Yang Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, P.R. China
&
Wanqin Wu Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, P.R. China
Pages 1127-1132 | Received 26 Sep 2008, Accepted 01 Sep 2009, Published online: 29 Apr 2010
 
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Abstract

In this article, a class of Cohen–Grossberg neutral networks (CGNNs) with time-varying delays on time scales is considered. We establish some sufficient conditions on the existence and exponential stability of anti-periodic solutions for CGNNs

where t ∈ 𝕋, 𝕋 is a periodic time scale, i = 1, 2, …, n.

Acknowledgements

This work is supported by the National Natural Sciences Foundation of People's Republic of China and the Natural Sciences Foundation of Yunnan Province

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