Global asymptotic stability in a class of reaction-diffusion equations with time delay
type: Item
instance of: scholarly article
title: Global asymptotic stability in a class of reaction-diffusion equations with time delay
zbMATH Open document ID: 1469.35121
DOI: 10.1155/2014/378172
author: Yueding Yuan
author: Zhiming Guo
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We study a very general class of delayed reaction-diffusion equations in which the reaction term can be nonmonotone and spatially nonlocal. By using a fluctuation method, combined with the careful analysis of the corresponding characteristic equations, we obtain some sufficient conditions for the global asymptotic stability of the trivial solution and the positive steady state to the equations subject to the Neumann boundary condition.
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35K20
zbMATH DE Number: 7022259
Wikidata QID: Q58005293
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/378172
OpenAlex ID: W1986250389
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description: scientific article; zbMATH DE number 7022259