Existence of coupled quasi-solutions of systems of nonlinear reaction- diffusion equations
type: Item
instance of: scholarly article
title: Existence of coupled quasi-solutions of systems of nonlinear reaction- diffusion equations
zbMATH Open document ID: 0589.35061
DOI: 10.1016/0022-247X(85)90022-8
published in: Journal of Mathematical Analysis and Applications
publication date: 1985-01-01T00:00:00Z
review text: We investigate general systems of nonlinear reaction-diffusion problems when the nonlinear terms possess a mixed quasi-monotone property. We discuss a very general situation and obtain coupled extremal quasi- solutions, which in special cases reduce to minimal and maximal solutions. We shall also indicate how one-step cyclic monotone iterative schemes can be generated which yield accelerated rate of convergence of iterates. This work is in the spirit of our recent paper [Nonlinear Anal., Theory Methods Appl. 8, 501-515 (1984; Zbl 0575.35033)] for elliptic systems.
Mathematics Subject Classification ID: 35G10
Mathematics Subject Classification ID: 35K25
Mathematics Subject Classification ID: 35A35
Mathematics Subject Classification ID: 35B50
Mathematics Subject Classification ID: 76R99
zbMATH DE Number: 3946757
zbMATH Keywords: systems of nonlinear reaction-diffusion problems
zbMATH Keywords: coupled extremal quasi- solutions
zbMATH Keywords: minimal and maximal solutions
author: G. S. Ladde
author: V. Lakshmikantham
author: Aghalaya S. Vatsala
MaRDI profile type: Publication
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full work available at URL: 0022-247x(85)90022-8
OpenAlex ID: W2068487005
description: scientific article; zbMATH DE number 3946757