Singularly perturbed partly dissipative reaction-diffusion systems in case of exchange of stabilities.
type: Item
instance of: scholarly article
title: Singularly perturbed partly dissipative reaction-diffusion systems in case of exchange of stabilities.
zbMATH Open document ID: 1192.35096
DOI: 10.1016/S0022-247X(02)00286-X
author: V. F. Butuzov
author: N. N. Nefedov
author: Klaus R. Schneider
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-02-11T00:00:00Z
review text: This article is devoted to a class of singularly perturbed differential equations which cannot be treated in the frame of the standard theory of singularly perturbed problems for ordinary as well as for partial differential equations. This new class of problems is called as \textit{singularly perturbed problems in case of exchange of stabilities}. The main results are concerned with the asymptotic behavior of the solutions of initial value, boundary value and initial-boundary value problems as the perturbation parameter tends to zero.
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35K40
zbMATH DE Number: 1866609
zbMATH Keywords: singularly perturbed differential equations, asymptotic expansions, exchange of stabilities, delayed exchange of stabilities, initial value problems, boundary value problems, initial-boundary value problems
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1866609