Uniform Attractor for the Partly Dissipative Nonautonomous Lattice Systems
<p/> <p>The existence of uniform attractor in <inline-formula><graphic file="1687-1847-2009-916316-i1.gif"/></inline-formula> is proved for the partly dissipative nonautonomous lattice systems with a new class of external terms belonging to <inline-formula&...
| 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://www.advancesindifferenceequations.com/content/2009/916316 |
| Summary: | <p/> <p>The existence of uniform attractor in <inline-formula><graphic file="1687-1847-2009-916316-i1.gif"/></inline-formula> is proved for the partly dissipative nonautonomous lattice systems with a new class of external terms belonging to <inline-formula><graphic file="1687-1847-2009-916316-i2.gif"/></inline-formula>, which are locally asymptotic smallness and translation bounded but not translation compact in <inline-formula><graphic file="1687-1847-2009-916316-i3.gif"/></inline-formula>. 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.</p> |
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| ISSN: | 1687-1839 1687-1847 |