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  • 标题:Uniform Attractor for the Partly Dissipative Nonautonomous Lattice Systems
  • 本地全文:下载
  • 作者:Xiaojun Li ; Haishen Lv
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2009
  • 卷号:2009
  • DOI:10.1155/2009/916316
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    The existence of uniform attractor in l 2 × l 2 is proved for the partly dissipative nonautonomous lattice systems with a new class of external terms belonging to L l o c 2 ( R , l 2 ) , which are locally asymptotic smallness and translation bounded but not translation compact in L l o c 2 ( R , l 2 ) . 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.

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