Pullback attractors of nonautonomous and stochastic multivalued dynamical systems

被引：138
|
作者：
Caraballo, T
Langa, JA
Melnik, VS
Valero, J
机构：
[1] Univ Seville, Dept Ecuac Diferenciales & Anal Numer, E-41080 Seville, Spain
[2] Inst Appl Syst Anal, UA-252056 Kiev, Ukraine
[3] Univ Cardenal Herrera CEU, Alicante 03203, Spain
来源：
SET-VALUED ANALYSIS | 2003年 / 11卷 / 02期
关键词：
attractor; asymptotic behaviour; differential inclusion; reaction-diffusion equation; nonautonomous dynamical system;
D O I：
10.1023/A:1022902802385
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the existence of pullback global attractors for multivalued processes generated by differential inclusions. First, we define multivalued dynamical processes, prove abstract results on the existence of omega-limit sets and global attractors, and study their topological properties (compactness, connectedness). Further, we apply the abstract results to nonautonomous differential inclusions of the reaction-diffusion type in which the forcing term can grow polynomially in time, and to stochastic differential inclusions as well.
引用
收藏
页码：153 / 201
页数：49
相关论文
共 50 条
  • [1] Pullback Attractors of Nonautonomous and Stochastic Multivalued Dynamical Systems
    T. Caraballo
    J. A. Langa
    V. S. Melnik
    J. Valero
    [J]. Set-Valued Analysis, 2003, 11 : 153 - 201
  • [2] Pullback attractors of nonautonomous dynamical systems
    Wang, Yejuan
    Zhong, Chengkui
    Zhou, Shengfan
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2006, 16 (03) : 587 - 614
  • [3] Pullback Attractors for NonAutonomous Dynamical Systems
    Anguiano, Maria
    Caraballo, Tomas
    Real, Jose
    Valero, Jose
    [J]. DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATI ONS, 2013, 47 : 217 - 225
  • [4] Weak Pullback Attractors for Asymptotically Upper Semicompact Nonautonomous Multivalued Semiflow
    李挺
    廖公夫
    [J]. Communications in Mathematical Research, 2006, (04) : 379 - 382
  • [5] Pullback Attractors for Multivalued Processes and Application to Nonautonomous Problems with Dynamic Boundary Conditions
    Samprogna, R. A.
    Schiabel, K.
    Gentile Moussa, C. B.
    [J]. SET-VALUED AND VARIATIONAL ANALYSIS, 2019, 27 (01) : 19 - 50
  • [6] Pullback Attractors for Multivalued Processes and Application to Nonautonomous Problems with Dynamic Boundary Conditions
    R. A. Samprogna
    K. Schiabel
    C. B. Gentile Moussa
    [J]. Set-Valued and Variational Analysis, 2019, 27 : 19 - 50
  • [7] PULLBACK EXPONENTIAL ATTRACTORS FOR NONAUTONOMOUS DYNAMICAL SYSTEM IN SPACE OF HIGHER REGULARITY
    Li, Yongjun
    Zhao, Tinggang
    Wu, Hongqing
    Wei, Jinying
    [J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2016, 6 (01): : 242 - 253
  • [8] THE EXISTENCE OF PULLBACK EXPONENTIAL ATTRACTORS FOR NONAUTONOMOUS DYNAMICAL SYSTEM AND APPLICATIONS TO NONAUTONOMOUS REACTION DIFFUSION EQUATIONS
    Li, Yongjun
    Wang, Suyun
    Zhao, Tinggang
    [J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2015, 5 (03): : 388 - 405
  • [9] Approximation of attractors of nonautonomous dynamical systems
    Aulbach, B
    Rasmussen, M
    Siegmund, S
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2005, 5 (02): : 215 - 238
  • [10] Pullback attractors in nonautonomous difference equations
    Kloeden, PE
    [J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2000, 6 (01) : 33 - 52
12345