Pullback and Forward Attractors of Nonautonomous Difference Equations

被引:3
|
作者
Kloeden, Peter [1 ]
Lorenz, Thomas [2 ]
机构
[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China
[2] RheinMain Univ Appl Sci, Appl Math, D-65197 Wiesbaden, Germany
关键词
Nonautonomous diuffernece equation; Pullback attractor; Forward attractor;
D O I
10.1007/978-3-319-24747-2_3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In 1998 at the ICDEA Poznan the first author talked about pullback attractors of nonautonomous difference equations. That talk was published as [7] in the Journal of Difference Equations & Applications in 2000. Since then the theory of nonautonomous dynamical systems has been the topic of many papers and there are some new developments, in particular concerning the construction of forward nonautonomous attractors, that will be discussed here.
引用
收藏
页码:37 / 48
页数:12
相关论文
共 50 条
  • [41] Pullback attractors of nonautonomous and stochastic multivalued dynamical systems
    Caraballo, T
    Langa, JA
    Melnik, VS
    Valero, J
    [J]. SET-VALUED ANALYSIS, 2003, 11 (02): : 153 - 201
  • [42] Pullback exponential attractors for nonautonomous equations Part II: Applications to reaction-diffusion systems
    Czaja, Radoslaw
    Efendiev, Messoud
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 381 (02) : 766 - 780
  • [43] Pullback Attractors for a Class of Semilinear Second-Order Nonautonomous Evolution Equations with Hereditary Characteristics
    Zhang, Fang-hong
    Chen, Xiao-hua
    [J]. JOURNAL OF MATHEMATICS, 2022, 2022
  • [44] Upper semicontinuity of pullback attractors for a nonautonomous damped wave equation
    Wang, Yonghai
    Hu, Minhui
    Qin, Yuming
    [J]. BOUNDARY VALUE PROBLEMS, 2021, 2021 (01)
  • [45] UPPER SEMICONTINUITY OF PULLBACK ATTRACTORS FOR NONAUTONOMOUS KIRCHHOFF WAVE MODELS
    Wang, Yonghai
    Zhong, Chengkui
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2013, 33 (07) : 3189 - 3209
  • [46] Pullback and Uniform Exponential Attractors for Nonautonomous Boussinesq Lattice System
    Zhao, Min
    Zhou, Shengfan
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2015, 25 (08):
  • [47] Pullback attractors for a nonautonomous nonclassical diffusion equation with variable delay
    Hu, Zhiyuan
    Wang, Yejuan
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2012, 53 (07)
  • [48] LOWER SEMICONTINUITY OF PULLBACK ATTRACTORS FOR A SINGULARLY NONAUTONOMOUS PLATE EQUATION
    da Silva, Ricardo Parreira
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
  • [49] Upper semicontinuity of pullback attractors for a nonautonomous damped wave equation
    Yonghai Wang
    Minhui Hu
    Yuming Qin
    [J]. Boundary Value Problems, 2021
  • [50] Upper Semicontinuity of Pullback Attractors for the 3D Nonautonomous Benjamin-Bona-Mahony Equations
    Yang, Xinguang
    Wang, Xiaosong
    Li, Juntao
    Zhang, Lingrui
    [J]. SCIENTIFIC WORLD JOURNAL, 2014,