渐近上半紧的多值随机半流的随机吸引子

李挺

渐近上半紧的多值随机半流的随机吸引子

李挺

苏州大学数学科学学院,江苏苏州 215006

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
计量
- 文章访问数: 2430
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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

Random Attractors for Asymptotically Upper Semicompact Multivalue Random Semiflows

LI Ting

Department of Mathematics, Suzhou Universuty, Suzhou, Jiangsu 215006, P. R. China

摘要

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．
- 随机吸引子 /
- 渐近上半紧 /
- 吸收集
Abstract: 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.
- random attractor /
- asymptotically upper semicompact /
- absorbing set

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参考文献(9)

[1]	Crauel H,Debussche A,Flandoli F.Random attractors[J].Journal of Dynamics and Differential Equation,1995,9(2):307-341.
[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
[9]	Crauel H.Global random attractors are uniquely determined by attracting deterministic compact sets[J].Annali di Matematica Pura ed Applicata,1999,176(4):57-72. doi: 10.1007/BF02505989