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

机译:具有分布时滞的细胞神经网络的概周期解的存在性和全局吸引性

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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. (C) 2003 Elsevier Inc. All rights reserved.
机译:本文致力于一类具有分布时滞和可变系数的细胞神经网络的概周期解的存在性和全局吸引性。利用Banach不动点理论和微分不等式技术推导了保证概周期解存在和全局吸引性的充分条件。结果允许考虑所有无界的神经元信号功能(但不一定是排斥的)。因此,获得的这些条件在网络的设计和应用中具有非常重要的意义。我们扩展和改进了以前已知的结果。还举了一个例子来证明我们的结果的优势。 (C)2003 Elsevier Inc.保留所有权利。

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