Pullback and forward attractors of contractive difference equations

被引：0
|
作者：
Huynh, Huy [1 ]
Kalkan, Abdullah [1 ]
机构：
[1] Univ Klagenfurt, Inst Math, A-9020 Klagenfurt Am Worthersee, Austria
来源：
INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS | 2021年 / 11卷 / 3-4期
基金：
奥地利科学基金会;
关键词：
pullback attractor; forward attractor; contractive mapping; dissipative difference equation; semilinear difference equation; contractive difkrence equation; integrodifference equation;
D O I：
10.1504/ijdsde.2021.10040329
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The construction of attractors of a dissipative difference equation is usually based on compactness assumptions. In this paper, we replace them with contractivity assumptions under which the pullback and forward attractors are identical. As a consequence, attractors degenerate to unique bounded entire solutions. As an application, we investigate attractors of integrodifference equations which are popular models in theoretical ecology.
引用
收藏
页码：302 / 321
页数：20
相关论文
共 50 条
  • [1] Pullback and Forward Attractors of Nonautonomous Difference Equations
    Kloeden, Peter
    Lorenz, Thomas
    [J]. DIFFERENCE EQUATIONS, DISCRETE DYNAMICAL SYSTEMS AND APPLICATIONS, 2015, 150 : 37 - 48
  • [2] Pullback attractors in nonautonomous difference equations
    Kloeden, PE
    [J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2000, 6 (01) : 33 - 52
  • [3] The inflation and perturbation of nonautonomous difference equations and their pullback attractors
    Kloeden, P
    Kozyakin, V
    [J]. PROCEEDINGS OF THE SIXTH INTERNATIONAL CONFERENCE ON DIFFERENCE EQUATIONS: NEW PROGRESS IN DIFFERENCE EQUATIONS, 2004, : 139 - 152
  • [4] Forward and pullback attraction on pullback attractors
    Rivero F.
    [J]. SeMA Journal, 2010, 51 (1): : 155 - 161
  • [5] Spatial discretization of pullback attractors of nonautonomous difference equations
    Kloeden, P
    [J]. COMMUNICATIONS IN DIFFERENCE EQUATIONS, 2000, : 215 - 226
  • [6] NUMERICAL DYNAMICS OF INTEGRODIFFERENCE EQUATIONS: FORWARD DYNAMICS AND PULLBACK ATTRACTORS
    Huynh, Huy
    Kloeden, Peter E.
    Poetzsche, Christian
    [J]. JOURNAL OF COMPUTATIONAL DYNAMICS, 2023, 10 (02): : 345 - 370
  • [7] Pullback attractors for nonclassical diffusion equations with delays
    Zhu, Kaixuan
    Sun, Chunyou
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2015, 56 (09)
  • [8] Pullback attractors of the Jeffreys-Oldroyd equations
    Zvyagin, Victor
    Kondratyev, Stanislav
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 260 (06) : 5026 - 5042
  • [9] PULLBACK EXPONENTIAL ATTRACTORS FOR DIFFERENTIAL EQUATIONS WITH DELAY
    Netchaoui, Sana
    Hammami, Mohamed Ali
    Caraballo, Tomas
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2021, 14 (04): : 1345 - 1358
  • [10] Pullback attractors for a non-autonomous plate equations
    Kang, Jum-Ran
    [J]. APPLICABLE ANALYSIS, 2014, 93 (04) : 875 - 888
12345