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渐近上半紧的多值随机半流的随机吸引子

Random Attractors for Asymptotically Upper Semicompact Multivalue Random Semiflows
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摘要 该文研究多值随机半流的随机吸引子的存在性.首先证明在拉回渐近上半紧及吸收的条件下,关于极限集的一个抽象结果,然后证明了随机的吸引子的存在性. The existence of random attractors for multi-value random semiflows was studied. First an abstract result on the existence of limit sets under the assumptions of pullback asymptotically upper semi-compact and absorbing is proved. Then the existence of random attractors is proved.
作者 李挺
出处 《应用数学和力学》 EI CSCD 北大核心 2007年第11期1363-1369,共7页 Applied Mathematics and Mechanics
基金 国家自然科学基金资助项目(10571130)
关键词 随机吸引子 渐近上半紧 吸收集 random attractor asymptotically upper semicompact absorbing set
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参考文献9

  • 1Crauel H,Debussche A,Flandoli F.Rando attractors[J].Journal of dymamics and Differential Equation,1995,9(2):307-341.
  • 2Kloeden P E,Schmalfuss B.Asymptotic behaviour of nonautonomous difference inclusions[J].Systems control Letter,1998,33(4):275-280.
  • 3Langa J A,Schmalfuss B.Finite dimensionality of attractors for nonautonomous dynamical systems given by partial differential equations[J].Stochastics and Dynamics,2004,4(3):385-404.
  • 4Schmalfuss B.Attractors for nonautonomous dynamical systems[A].In:Fiedler B,Greger K,Sprekels J,Eds.Proc Equadi 99[C].Berlin:World Scientific,2000,684-689.
  • 5Caraballo T,Langa J,Valero J.Global attractors for multivalued random dynamical systems[J].Nonlinear Analysis,2002,48(6:805-829.
  • 6Caraballo T,Langa J,Melnik v,et al.Pullback Attractors of Nonautonomous and Stochastic Multivalued Dynamical Systems[J].Set-Valued Analysis,2003,11(3:153-201.
  • 7Caraballo T,Lukasze3wicz G,Real J.Pullback attractors for asymptotically compact nonautonomous dynamical systems[J].Nonlinear Analysis,2006,64(3:484-498.
  • 8Caraballo T,Marin-Rubio P,Valero J.Autonomous and non-autonomous attractors for differential equations with delays[J].Journal of Differential Equations,2005,208(1):9-41.
  • 9Crauel H.Global random attractors are uniquely determined by attracting deterministic compact sets [J].Annali di matematica pura ed Applicata,1999,176(4):57-72.

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