Existence and global attractivity of almost periodic solution for cellular neural network with distributed delays

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摘要

This paper is devoted to the existence and global attractivity of almost periodic solution for a class of cellular neural network with distributed delays and variable coefficients. Some sufficient conditions ensuring the existence and global attractivity of almost periodic solution are derived by employing Banach fixed point theory and using differential inequality technique. The results allow for the consideration of all unbounded neuron signal functions (but not necessarily surjective). Thus, these conditions obtained have highly important significance in designs and applications of the networks. We extend and improve previously known results. An example is also worked out to demonstrate the advantages of our results.

论文关键词:Global attractivity,Almost periodic solution,Cellular neural network,Fixed point,Differential inequality

论文评审过程:Available online 4 September 2003.

论文官网地址:https://doi.org/10.1016/S0096-3003(03)00743-4