On the Dynamics of Abstract Retarded Evolution Equations

On the Dynamics of Abstract Retarded Evolution Equations

This paper is concerned with the dynamics of the following abstract retarded evolution equation: in a Hilbert space , where is a self-adjoint positive-definite operator with compact resolvent and is a locally Lipschitz continuous mapping. The dissipativity and pullback attractors are inves...

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Main Authors: Desheng Li, Jinying Wei, Jintao Wang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/359310
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spelling doaj-1520b2e2cdf047469b47cf1bc2f9fd862020-11-24T20:52:16ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/359310359310On the Dynamics of Abstract Retarded Evolution EquationsDesheng Li0Jinying Wei1Jintao Wang2Department of Mathematics, School of Science, Tianjin University, Tianjin 300072, ChinaSchool of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, ChinaDepartment of Mathematics, School of Science, Tianjin University, Tianjin 300072, ChinaThis paper is concerned with the dynamics of the following abstract retarded evolution equation: in a Hilbert space , where is a self-adjoint positive-definite operator with compact resolvent and is a locally Lipschitz continuous mapping. The dissipativity and pullback attractors are investigated, and the existence of locally almost periodic solutions is established.http://dx.doi.org/10.1155/2013/359310
collection DOAJ
language English
format Article
sources DOAJ
author Desheng Li
Jinying Wei
Jintao Wang
spellingShingle Desheng Li
Jinying Wei
Jintao Wang
On the Dynamics of Abstract Retarded Evolution Equations
Abstract and Applied Analysis
author_facet Desheng Li
Jinying Wei
Jintao Wang
author_sort Desheng Li
title On the Dynamics of Abstract Retarded Evolution Equations
title_short On the Dynamics of Abstract Retarded Evolution Equations
title_full On the Dynamics of Abstract Retarded Evolution Equations
title_fullStr On the Dynamics of Abstract Retarded Evolution Equations
title_full_unstemmed On the Dynamics of Abstract Retarded Evolution Equations
title_sort on the dynamics of abstract retarded evolution equations
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description This paper is concerned with the dynamics of the following abstract retarded evolution equation: in a Hilbert space , where is a self-adjoint positive-definite operator with compact resolvent and is a locally Lipschitz continuous mapping. The dissipativity and pullback attractors are investigated, and the existence of locally almost periodic solutions is established.
url http://dx.doi.org/10.1155/2013/359310
work_keys_str_mv AT deshengli onthedynamicsofabstractretardedevolutionequations
AT jinyingwei onthedynamicsofabstractretardedevolutionequations
AT jintaowang onthedynamicsofabstractretardedevolutionequations
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