Uniform Attractor for the Partly Dissipative Nonautonomous Lattice Systems
The existence of uniform attractor in l2×l2 is proved for the partly dissipative nonautonomous lattice systems with a new class of external terms belonging to Lloc2(R,l2), which are locally asymptotic smallness and translation bounded but not translation compact in Lloc2(R,l2). It is also...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2009-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://dx.doi.org/10.1155/2009/916316 |
| _version_ | 1818358989186924544 |
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| author | Xiaojun Li Haishen Lv |
| author_facet | Xiaojun Li Haishen Lv |
| author_sort | Xiaojun Li |
| collection | DOAJ |
| description | The existence of uniform attractor in l2×l2 is proved for the partly dissipative nonautonomous lattice systems with a new class of external terms belonging to Lloc2(R,l2), which are locally asymptotic smallness and translation bounded but not translation compact in Lloc2(R,l2). It is also showed that the family of processes corresponding to nonautonomous lattice systems with external terms belonging to weak topological space possesses uniform attractor, which is identified with the original one. The upper semicontinuity of uniform attractor is also studied. |
| first_indexed | 2024-12-13T20:37:45Z |
| format | Article |
| id | doaj.art-fdabed60bdab4fbb87f60c6451a7cf14 |
| institution | Directory Open Access Journal |
| issn | 1687-1839 1687-1847 |
| language | English |
| last_indexed | 2024-12-13T20:37:45Z |
| publishDate | 2009-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-fdabed60bdab4fbb87f60c6451a7cf142022-12-21T23:32:14ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472009-01-01200910.1155/2009/916316Uniform Attractor for the Partly Dissipative Nonautonomous Lattice SystemsXiaojun LiHaishen LvThe existence of uniform attractor in l2×l2 is proved for the partly dissipative nonautonomous lattice systems with a new class of external terms belonging to Lloc2(R,l2), which are locally asymptotic smallness and translation bounded but not translation compact in Lloc2(R,l2). It is also showed that the family of processes corresponding to nonautonomous lattice systems with external terms belonging to weak topological space possesses uniform attractor, which is identified with the original one. The upper semicontinuity of uniform attractor is also studied.http://dx.doi.org/10.1155/2009/916316 |
| spellingShingle | Xiaojun Li Haishen Lv Uniform Attractor for the Partly Dissipative Nonautonomous Lattice Systems Advances in Difference Equations |
| title | Uniform Attractor for the Partly Dissipative Nonautonomous Lattice Systems |
| title_full | Uniform Attractor for the Partly Dissipative Nonautonomous Lattice Systems |
| title_fullStr | Uniform Attractor for the Partly Dissipative Nonautonomous Lattice Systems |
| title_full_unstemmed | Uniform Attractor for the Partly Dissipative Nonautonomous Lattice Systems |
| title_short | Uniform Attractor for the Partly Dissipative Nonautonomous Lattice Systems |
| title_sort | uniform attractor for the partly dissipative nonautonomous lattice systems |
| url | http://dx.doi.org/10.1155/2009/916316 |
| work_keys_str_mv | AT xiaojunli uniformattractorforthepartlydissipativenonautonomouslatticesystems AT haishenlv uniformattractorforthepartlydissipativenonautonomouslatticesystems |