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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