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渐近上半紧的多值随机半流的随机吸引子

李挺

李挺. 渐近上半紧的多值随机半流的随机吸引子[J]. 应用数学和力学, 2007, 28(11): 1363-1369.
引用本文: 李挺. 渐近上半紧的多值随机半流的随机吸引子[J]. 应用数学和力学, 2007, 28(11): 1363-1369.
LI Ting. Random Attractors for Asymptotically Upper Semicompact Multivalue Random Semiflows[J]. Applied Mathematics and Mechanics, 2007, 28(11): 1363-1369.
Citation: LI Ting. Random Attractors for Asymptotically Upper Semicompact Multivalue Random Semiflows[J]. Applied Mathematics and Mechanics, 2007, 28(11): 1363-1369.

渐近上半紧的多值随机半流的随机吸引子

基金项目: 国家自然科学基金资助项目(10571130)
详细信息
    作者简介:

    李挺(1967- )女,江苏启东人,讲师(E-mail:liting@suda.edu.cn).

  • 中图分类号: O175.1

Random Attractors for Asymptotically Upper Semicompact Multivalue Random Semiflows

  • 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.
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    [2] Kloeden P E,Schmalfuss B.Asymptotic behaviour of nonautonomous difference inclusions[J].Systems Control Letter,1998,33(4):275-280. doi: 10.1016/S0167-6911(97)00107-2
    [3] Langa 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. doi: 10.1142/S0219493704001127
    [4] Schmalfuss 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.
    [5] Caraballo T,Langa J,Valero J.Global attractors for multivalued random dynamical systems[J].Nonlinear Analysis,2002,48(6):805-829. doi: 10.1016/S0362-546X(00)00216-9
    [6] Caraballo 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. doi: 10.1023/A:1022902802385
    [7] Caraballo T,Lukaszewicz G,Real J.Pullback attractors for asymptotically compact nonautonomous dynamical systems[J].Nonlinear Analysis,2006,64(3):484-498. doi: 10.1016/j.na.2005.03.111
    [8] Caraballo 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. doi: 10.1016/j.jde.2003.09.008
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  • 被引次数: 0
出版历程
  • 收稿日期:  2006-07-18
  • 修回日期:  2007-08-28
  • 刊出日期:  2007-11-15

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