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: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/359310 |
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| _version_ | 1832548587876122624 |
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| author | Desheng Li Jinying Wei Jintao Wang |
| author_facet | Desheng Li Jinying Wei Jintao Wang |
| author_sort | Desheng Li |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-1520b2e2cdf047469b47cf1bc2f9fd86 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-1520b2e2cdf047469b47cf1bc2f9fd862025-02-03T06:13:38ZengWileyAbstract 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 |
| spellingShingle | Desheng Li Jinying Wei Jintao Wang On the Dynamics of Abstract Retarded Evolution Equations Abstract and Applied Analysis |
| title | 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_short | On the Dynamics of Abstract Retarded Evolution Equations |
| title_sort | on the dynamics of abstract retarded evolution equations |
| url | http://dx.doi.org/10.1155/2013/359310 |
| work_keys_str_mv | AT deshengli onthedynamicsofabstractretardedevolutionequations AT jinyingwei onthedynamicsofabstractretardedevolutionequations AT jintaowang onthedynamicsofabstractretardedevolutionequations |