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Almost periodic solutions for Hopfield neural networks with continuously distributed delays
Authors:Bingwen Liu
Affiliation:1. Laboratory of Nonlinear Science, Institute of Mathematics, Fudan University, Shanghai 200433, PR China;2. College of Mathematics and Information Science, Jiaxing University, Jiaxing, Zhejiang 314001, PR China
Abstract:In this paper Hopfield neural networks with continuously distributed delays are considered. Without assuming the global Lipschitz conditions of activation functions, 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 they complement previously known results.
Keywords:34C25   34K13   34K25
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