Periodic solutions for some nonautonomous semilinear boundary evolution equations
type: Item
instance of: scholarly article
title: Periodic solutions for some nonautonomous semilinear boundary evolution equations
zbMATH Open document ID: 1177.34053
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2009-06-24T00:00:00Z
review text: The authors study the existence of periodic solutions for some evolution equations by using the Poincaré map and fixed point approach. Firstly, the authors prove the existence of a periodic solution by using a fixed point theorem for affine maps, for some nonhomogeneous linear equations. For nonlinear equations, the authors use a fixed point theorem for mulitivalued maps. Some applications for illustrations are given for some nonlinear reaction diffusion systems.
reviewed by: Khalil Ezzinbi
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 35K90
Mathematics Subject Classification ID: 47N20
Mathematics Subject Classification ID: 34G20
zbMATH DE Number: 5569394
zbMATH Keywords: evolution family
zbMATH Keywords: variation of constant formula
zbMATH Keywords: Poincaré map
zbMATH Keywords: spectral decomposition
zbMATH Keywords: mild solution
author: Thami Akrid
author: Lahcen Maniar
author: Aziz Ouhinou
MaRDI profile type: Publication
full work available at URL: j.na.2008.11.021
OpenAlex ID: W2040111582
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DOI: 10.1016/J.NA.2008.11.021
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description: scientific article; zbMATH DE number 5569394