Remarks on the global attractors of semigroups having a Lyapunov functional
type: Item
instance of: scholarly article
title: Remarks on the global attractors of semigroups having a Lyapunov functional
zbMATH Open document ID: 0942.37053
DOI: 10.1007/BF02677355
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 1999-08-30T00:00:00Z
review text: The paper deals with a sufficient condition on semigroups acting in a Banach space in order to possess a global attractor. For the system having a Lyapunov functional the authors explicitly construct the absorbing set from the set of bounded stationary solutions and as result also the global attractor.
Mathematics Subject Classification ID: 37L45
Mathematics Subject Classification ID: 37L30
zbMATH DE Number: 1328430
zbMATH Keywords: semigroup
zbMATH Keywords: global attractor
zbMATH Keywords: Lyapunov functional
author: Boling Guo
author: Hongjun Gao
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
cites work: Regular attractors of semigroups and evolution equations
cites work: Infinite-dimensional dynamical systems in mechanics and physics
cites work: A damped hyerbolic equation with critical exponent
full work available at URL: https://doi.org/10.1007/bf02677355
OpenAlex ID: W142770845
description: scientific article; zbMATH DE number 1328430