Stability of the stochastic reaction-diffusion neural network with time-varying delays and \(p\)-Laplacian
type: Item
instance of: scholarly article
title: Stability of the stochastic reaction-diffusion neural network with time-varying delays and \(p\)-Laplacian
zbMATH Open document ID: 1263.92004
DOI: 10.1155/2012/405939
author: Pan Qingfei
author: Zhang Zifang
author: Huang Jingchang
published in: Journal of Applied Mathematics
publication date: 2013-06-03T00:00:00Z
review text: Summary: 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, and the algebraic conditions for the moment exponential stability of the non-constant equilibrium solution are derived. An example is also given for illustration.
Mathematics Subject Classification ID: 92B20
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 60H30
zbMATH DE Number: 6169904
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/405939
OpenAlex ID: W2157440545
Wikidata QID: Q58906849
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DBLP publication ID: journals/jam/PanZH12
description: scientific article; zbMATH DE number 6169904