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文章基本信息

  • 标题:Existence of Random Attractor for Stochastic Fractional Long-Short Wave Equations with Periodic Boundary Condition
  • 本地全文:下载
  • 作者:Na Liu ; Jie Xin
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2017
  • 卷号:2017
  • DOI:10.1155/2017/3642548
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We consider the asymptotic behaviors of stochastic fractional long-short equations driven by a random force. Under a priori estimates in the sense of expectation, using Galerkin approximation by the stopping time and the Borel-Cantelli lemma, we prove the existence and uniqueness of solutions. Then a global random attractor and the existence of a stationary measure are obtained via the Birkhoff ergodic theorem and the Chebyshev inequality.
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