Random Attractor of Reaction-Diffusion Hopfield Neural Networks Driven by Wiener Processes

This paper studies the global existence and uniqueness of the mild solution for reaction-diffusion Hopfield neural networks (RDHNNs) driven by Wiener processes by applying a Schauder fixed point theorem and a priori estimate; then the random attractor for this system is also studied by constructing...

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Bibliographic Details
Main Authors: Xiao Liang, Linshan Wang, Ruili Wang
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2018/2538658