Existence and global attractivity of almost periodic solutions for neural field with time delay

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摘要

In this paper, the problem of existence and attractivity of almost periodic solutions for delayed neural field (DNF) with variable coefficients is discussed. First, the model of DNF is established as a modified neural field model. Secondly, by combining the theory of the exponential dichotomy, employing Banach fixed point theory and using differential inequality technique, some conditions for the the existence and attractivity of almost periodic solutions for the DNF are proposed.

论文关键词:Existence,Global attractivity,Almost periodic solutions,Neural field,Exponential dichotomy,Banach fixed point theory

论文评审过程:Available online 24 November 2007.

论文官网地址:https://doi.org/10.1016/j.amc.2007.11.030