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J. Korean Math. Soc. 2007; 44(4): 873-887
Printed July 1, 2007
Copyright © The Korean Mathematical Society.
Existence and exponential stability of almost periodic solutions for cellular neural networks without global Lipschitz conditions
Bingwen Liu
Hunan University of Arts and Science Changde
In this paper cellular neutral networks with time-varying delays and continuously distributed delays are considered. Without assuming the global Lipschitz conditions of activation functions, some sufficient conditions for the existence and exponential stability of the almost periodic solutions are established by using the fixed point theorem and differential inequality techniques. The results of this paper are new and complement previously known results.
Keywords: cellular neural networks, almost periodic solution, exponential stability, fixed point theorem, delays
MSC numbers: 34C25, 34K13
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