Periodic solutions of parabolic systems with nonlinear boundary conditions
type: Item
instance of: scholarly article
title: Periodic solutions of parabolic systems with nonlinear boundary conditions
zbMATH Open document ID: 0932.35111
author: C. V. Pao
published in: Journal of Mathematical Analysis and Applications
publication date: 2000-02-29T00:00:00Z
review text: The existence and the stability of periodic solutions for a coupled system of nonlinear parabolic equations under nonlinear boundary conditions is investigated. The method of upper and lower solutions and its associated monotone iterations is used. This method implies the existence of maximal and minimal periodic solutions, which can be computed from a linear iteration process in the same way as for parabolic initial-boundary value problems. A sufficient condition for the stability of a periodic solution is also given. These results are applied to models arising in chemical kinetics, ecology, and population biology.
reviewed by: Ivan Ginchev
Mathematics Subject Classification ID: 35K50
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 35K55
zbMATH DE Number: 1334733
zbMATH Keywords: method of upper and lower solutions
zbMATH Keywords: existence and stability of periodic solutions
zbMATH Keywords: monotone iterations
MaRDI profile type: Publication
full work available at URL: jmaa.1999.6412
OpenAlex ID: W2156992777
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DOI: 10.1006/JMAA.1999.6412
description: scientific article; zbMATH DE number 1334733