RANDOM ATTRACTOR FOR STOCHASTIC PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY

被引：1
|
作者：
You, Honglian [1 ]
Yuan, Rong [2 ]
机构：
[1] Binzhou Univ, Dept Math, Binzhou 256600, Peoples R China
[2] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2014年 / 51卷 / 05期
基金：
中国国家自然科学基金;
关键词：
random attractor; Hille-Yosida; tempered; infinite delay; REACTION-DIFFUSION EQUATIONS; RANDOM DYNAMICAL-SYSTEMS; UNBOUNDED-DOMAINS;
D O I：
10.4134/BKMS.2014.51.5.1469
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we are concerned with a class of stochastic partial functional differential equations with infinite delay. Supposing that the linear part is a Hille-Yosida operator but not necessarily densely defined and employing the integrated semigroup and random dynamics theory, we present some appropriate conditions to guarantee the existence of a random attractor.
引用
收藏
页码：1469 / 1484
页数：16
相关论文
共 50 条
  • [1] RANDOM ATTRACTOR FOR STOCHASTIC PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH FINITE DELAY
    You, Honglian
    Yuan, Rong
    TAIWANESE JOURNAL OF MATHEMATICS, 2014, 18 (01): : 77 - 92
  • [2] Global Attractor for Some Partial Functional Differential Equations with Infinite Delay
    Bouzahir, Hassane
    You, Honglian
    Yuan, Rong
    FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 2011, 54 (01): : 139 - 156
  • [3] Stochastic functional differential equations with infinite delay
    Zhou, Shaobo
    Wang, Zhiyong
    Feng, Dan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 357 (02) : 416 - 426
  • [4] Fractional partial random differential equations with infinite delay
    Heris, Amel
    Salim, Abdelkrim
    Benchohra, Mouffak
    Karapinar, Erdal
    RESULTS IN PHYSICS, 2022, 37
  • [5] Existence and Stability for Stochastic Partial Differential Equations with Infinite Delay
    Cui, Jing
    Yan, Litan
    Sun, Xichao
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [6] Global attractor for some partial functional differential equations with finite delay
    You, Honglian
    Yuan, Rong
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (9-10) : 3566 - 3574
  • [7] Practical stability of stochastic functional differential equations with infinite delay
    Rhaima, Mohamed
    Mchiri, Lassaad
    Ben Makhlouf, Abdellatif
    Sallay, Jihen
    ASIAN JOURNAL OF CONTROL, 2024, 26 (02) : 1057 - 1067
  • [8] STABILITY OF THE SOLUTIONS TO STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
    Chaohui Yue1
    2. School of Sciences
    Annals of Applied Mathematics, 2009, (02) : 219 - 222
  • [9] On a Class of Nonlocal Stochastic Functional Differential Equations with Infinite Delay
    Wu, Fuke
    Hu, Shigeng
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2011, 29 (04) : 713 - 721
  • [10] STABILITY OF THE SOLUTIONS TO STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
    Chaohui YueLianglong Wang School of Math SciencesAnhui UniversityHefei School of SciencesAnhui Agricultural UniversityHefei
    Annals of Differential Equations, 2009, 25 (02) : 219 - 222
12345