Existence of local solutions for a class of delayed neural networks with discontinuous activations

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摘要

In this paper, we study the existence of local solutions for a class of differential inclusions, which right-hand set-valued functions may not be upper semicontinuous. Moreover, we employ our results to obtain the existence of local solutions for a class of neural networks.

论文关键词:Local existence,Differential inclusion,Neural network,Filippov’s solution

论文评审过程:Available online 24 August 2014.

论文官网地址:https://doi.org/10.1016/j.amc.2014.06.025