ASYMPTOTIC BEHAVIOR OF COUPLED INCLUSIONS WITH VARIABLE EXPONENTS

被引:1
|
作者
Kloeden, Peter E. [1 ]
Simsen, Jacson [2 ]
Wittbold, Petra [3 ]
机构
[1] Univ Tubingen, Math Inst, D-72076 Tubingen, Germany
[2] Univ Fed Itajuba, Inst Matemat & Comp, Av BPS 1303, BR-37500903 Itajuba, MG, Brazil
[3] Univ Duisburg Essen, Fak Math, Thea Leymann Str 9, D-45127 Essen, Germany
关键词
Pullback attractor; reaction-diffusion coupled systems; variable exponents; asymptotically autonomous problems; PULLBACK ATTRACTORS; MULTIVALUED SEMIFLOWS; EXISTENCE; EQUATIONS;
D O I
10.3934/cpaa.2020046
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This work concerns the study of asymptotic behavior of the solutions of a nonautonomous coupled inclusion system with variable exponents. We prove the existence of a pullback attractor and that the system of inclusions is asymptotically autonomous.
引用
收藏
页码:1001 / 1016
页数:16
相关论文
共 50 条
  • [21] ASYMPTOTIC BEHAVIOR FOR NONAUTONOMOUS FUNCTIONAL DIFFERENTIAL INCLUSIONS WITH MEASURES OF NONCOMPACTNESS
    Nguyen Van Dac
    Tran Dine Ke
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2017, 49 (02) : 383 - 400
  • [22] ASYMPTOTIC ANALYSIS OF SOLUTIONS OF SECOND ORDER QUASILINEAR DIFFERENTIAL EQUATIONS WITH VARIABLE EXPONENTS OF NONLINEARITY
    Fujimoto, Kodai
    Hamaoka, Masaki
    Tanigawa, Tomoyuki
    MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2023, 90 : 1 - 13
  • [23] The asymptotic workload behavior of two coupled queues
    Borst, S
    Boxma, O
    van Uitert, M
    QUEUEING SYSTEMS, 2003, 43 (1-2) : 81 - 102
  • [24] The Asymptotic Workload Behavior of Two Coupled Queues
    Sem Borst
    Onno Boxma
    Miranda van Uitert
    Queueing Systems, 2003, 43 : 81 - 102
  • [25] Asymptotic Behavior of Semistable L,vy Exponents and Applications to Fractal Path Properties
    Kern, Peter
    Meerschaert, Mark M.
    Xiao, Yimin
    JOURNAL OF THEORETICAL PROBABILITY, 2018, 31 (01) : 598 - 617
  • [26] EXISTENCE AND DECAY OF SOLUTIONS TO COUPLED SYSTEMS OF NONLINEAR WAVE EQUATIONS WITH VARIABLE EXPONENTS
    Bouhoufani, Oulia
    Messaoudi, Salim A.
    Zahri, Mostafa
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 2023 (73)
  • [27] ADIABATIC INVARIANTS AND ASYMPTOTIC-BEHAVIOR OF LYAPUNOV EXPONENTS OF THE SCHRODINGER-EQUATION
    DELYON, F
    FOULON, P
    JOURNAL OF STATISTICAL PHYSICS, 1986, 45 (1-2) : 41 - 47
  • [28] ASYMPTOTIC BEHAVIOR OF STOCHASTIC WAVE EQUATIONS WITH CRITICAL EXPONENTS ON R3
    Wang, Bixiang
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 363 (07) : 3639 - 3663
  • [29] Asymptotic Behavior of Semistable Lévy Exponents and Applications to Fractal Path Properties
    Peter Kern
    Mark M. Meerschaert
    Yimin Xiao
    Journal of Theoretical Probability, 2018, 31 : 598 - 617
  • [30] A coupled system of Laplacian and bi-Laplacian equations with nonlinear dampings and source terms of variable-exponents nonlinearities: Existence, uniqueness, blow-up and a large-time asymptotic behavior
    Messaoudi, Salim A.
    Al-Gharabli, Mohammad M.
    Al-Mahdi, Adel M.
    Al-Osta, Mohammed A.
    AIMS MATHEMATICS, 2023, 8 (04): : 7933 - 7966