Stability of the Stochastic Reaction‐Diffusion Neural Network with Time‐Varying Delays and p‐Laplacian

Pan Qingfei, Zhang Zifang and Huang Jingchang

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

Abstract: The main aim of this paper is to discuss moment exponential stability for a stochastic reaction‐diffusion neural network with time‐varying delays and p‐Laplacian. Using the Itô formula, a delay differential inequality and the characteristics of the neural network, the algebraic conditions for the moment exponential stability of the nonconstant equilibrium solution are derived. An example is also given for illustration.

Date: 2012
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https://doi.org/10.1155/2012/405939

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:405939

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