RANDOM ATTRACTOR FOR STOCHASTIC PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH FINITE DELAY

被引：1

作者：

You, Honglian ^{[1
]}

Yuan, Rong ^{[2
]}

机构：

[1] Civil Aviat Univ China, Sino European Inst Aviat Engn, Tianjin 300300, Peoples R China

[2] Beijing Normal Univ, Dept Math Sci, Beijing 100875, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2014年 / 18卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Attractor; Integrated semigroup; Stochastic partial differential equations; Supported by National Natural Science Foundation of China (Grant No. 11226137);

D O I：

10.11650/tjm.18.2014.2777

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with a class of stochastic partial functional differential equations with finite delay. We give some sufficient conditions to guarantee the existence of a unique random attractor which attracts any tempered random set in the phase space.

引用

页码：77 / 92

页数：16

共 12 条

[1]

[Anonymous], 2010, Asymptotic Behavior of Dissipative Systems

[2]

ARENDT W, 1987, P LOND MATH SOC, V54, P321

[3]

Arnold L, 1998, Random dynamical systems

[4] Random attractors for stochastic reaction-diffusion equations on unbounded domains [J].

Bates, Peter W. ;

Lu, Kening ;

Wang, Bixiang .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 246 (02) :845-869

[5] Random attractors [J].

Crauel H. ;

Debussche A. ;

Flandoli F. .

Journal of Dynamics and Differential Equations, 1997, 9 (2) :307-341

[6] ATTRACTORS FOR RANDOM DYNAMICAL-SYSTEMS [J].

CRAUEL, H ;

FLANDOLI, F .

PROBABILITY THEORY AND RELATED FIELDS, 1994, 100 (03) :365-393

[7] INTEGRATED SEMIGROUPS [J].

KELLERMAN, H ;

HIEBER, M .

JOURNAL OF FUNCTIONAL ANALYSIS, 1989, 84 (01) :160-180

[8]

Pazy A., 1993, SEMIGROUPS LINEAR OP, DOI DOI 10.1007/978-1-4612-5561-1

[9]

Prato G. Da, 1987, ANN SC NORM SUPER S, V14, P285

[10] One-dimensional random attractor and rotation number of the stochastic damped sine-Gordon equation [J].

Shen, Zhongwei ;

Zhou, Shengfan ;

Shen, Wenxian .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 248 (06) :1432-1457

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