WELL-POSEDNESS AND EXPONENTIAL DECAY OF SOLUTIONS FOR A TRANSMISSION PROBLEM WITH DISTRIBUTED DELAY

被引:1
|
作者
Liu, Gongwei [1 ]
机构
[1] Henan Univ Technol, Coll Sci, Zhengzhou 450001, Peoples R China
关键词
WAVE-EQUATION; TIME DELAYS; STABILITY; BOUNDARY; STABILIZATION; SYSTEMS; TERM;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we consider a transmission problem in a bounded domain with a distributed delay in the first equation. Using a semigroup theorem, we prove the existence and uniqueness of global solution under suitable assumptions on the weight of damping and the weight of distributed delay. Also we establish the exponential stability of the solution by introducing a suitable Lyapunov functional.
引用
收藏
页数:13
相关论文
共 50 条
  • [1] WELL-POSEDNESS AND DECAY OF SOLUTIONS FOR A TRANSMISSION PROBLEM WITH HISTORY AND DELAY
    Li, Gang
    Wang, Danhua
    Zhu, Biqing
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
  • [2] Well-posedness and exponential decay for a laminated beam with distributed delay term
    Douib, Madani
    Zitouni, Salah
    Djebabla, Abdelhak
    [J]. STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2022, 67 (03): : 545 - 562
  • [3] WELL-POSEDNESS AND EXPONENTIAL DECAY FOR PIEZOELECTRIC BEAMS WITH DISTRIBUTED DELAY TERM
    Loucif, Sami
    Guefaifia, Rafik
    Zitouni, Salah
    Ardjouni, Abdelouaheb
    [J]. MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2024, 91 : 85 - 104
  • [4] Well-posedness and general decay of solution for a transmission problem with viscoelastic term and delay
    Wang, Danhua
    Li, Gang
    Zhu, Biqing
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (03): : 1202 - 1215
  • [5] Exponential decay and well-posedness for a one-dimensional porous-elastic system with distributed delay
    Khochemane, Houssem Eddine
    Bouzettouta, Lamine
    Guerouah, Amin
    [J]. APPLICABLE ANALYSIS, 2021, 100 (14) : 2950 - 2964
  • [6] Well-posedness and exponential decay of solutions for the Blackstock Crighton Kuznetsov equation
    Brunnhuber, Rainer
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 433 (02) : 1037 - 1054
  • [7] WELL-POSEDNESS AND ENERGY DECAY OF A TRANSMISSION PROBLEM OF KIRCHHOFF TYPE WAVE EQUATIONS WITH DAMPING AND DELAY TERMS
    Liu, Zhiqing
    Gao, Cunchen
    Fang, Zhong Bo
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, : 1 - 23
  • [8] GLOBAL WELL-POSEDNESS AND EXPONENTIAL DECAY OF SHEAR BEAM MODEL SUBJECT TO A NEUTRAL DELAY
    Loucif, S.
    Guefaifia, R.
    Zitouni, S.
    Khochemane, Houssem Eddine
    [J]. EURASIAN JOURNAL OF MATHEMATICAL AND COMPUTER APPLICATIONS, 2023, 11 (02): : 67 - 81
  • [9] Well-posedness and Energy Decay of Solutions to a Nonlinear Bresse System with Delay Terms
    Benaissa, Abbes
    Miloudi, Mostefa
    Mokhtari, Mokhtar
    [J]. DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2020, 28 (02) : 447 - 478
  • [10] Well-posedness and Energy Decay of Solutions to a Nonlinear Bresse System with Delay Terms
    Abbes Benaissa
    Mostefa Miloudi
    Mokhtar Mokhtari
    [J]. Differential Equations and Dynamical Systems, 2020, 28 : 447 - 478