Energy decay of solutions of nonlinear viscoelastic problem with the dynamic and acoustic boundary conditions

被引:1
|
作者
Lee, Mi Jin [1 ]
Park, Jong Yeoul [1 ]
机构
[1] Pusan Natl Univ, Dept Math, Busan 609735, South Korea
来源
基金
新加坡国家研究基金会;
关键词
general decay rate; viscoelastic wave equation; time-varying delay; acoustic boundary conditions; dynamic boundary; TIME-VARYING DELAY; WAVE-EQUATION; GENERAL DECAY; VARIABLE-COEFFICIENTS; ASYMPTOTIC STABILITY; EXISTENCE;
D O I
10.1186/s13661-017-0918-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we are concerned with the energy decay rate of the nonlinear viscoelastic problem with dynamic and acoustic boundary conditions.
引用
收藏
页数:26
相关论文
共 50 条
  • [31] Multiplicity of solutions to a nonlinear elliptic problem with nonlinear boundary conditions
    Jorge García-Melián
    Julio D. Rossi
    José C. Sabina de Lis
    Nonlinear Differential Equations and Applications NoDEA, 2014, 21 : 305 - 337
  • [32] Multiplicity of solutions to a nonlinear elliptic problem with nonlinear boundary conditions
    Garcia-Melian, Jorge
    Rossi, Julio D.
    Sabina de Lis, Jose C.
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2014, 21 (03): : 305 - 337
  • [33] Asymptotic behavior for a past history viscoelastic problem with acoustic boundary conditions
    Boukhatem, Yamna
    Benabderrahmane, Benyattou
    APPLICABLE ANALYSIS, 2020, 99 (02) : 249 - 269
  • [34] Energy decay rates for a hyperbolic differential inclusion with viscoelastic boundary conditions
    Kang, Jum-Ran
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013, 36 (13) : 1805 - 1812
  • [35] Decay Results for a Viscoelastic Problem with Nonlinear Boundary Feedback and Logarithmic Source Term
    Al-Gharabli, Mohammad M.
    Al-Mahdi, Adel M.
    Messaoudi, Salim A.
    JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2022, 28 (01) : 71 - 89
  • [36] GENERAL DECAY OF SOLUTIONS FOR A NONLINEAR VISCOELASTIC WAVE EQUATION WITH NONLOCAL BOUNDARY DAMPING
    Tahamtani, Faramarz
    Peyravi, Amir
    MISKOLC MATHEMATICAL NOTES, 2014, 15 (02) : 753 - 760
  • [37] Decay Results for a Viscoelastic Problem with Nonlinear Boundary Feedback and Logarithmic Source Term
    Mohammad M. Al-Gharabli
    Adel M. Al-Mahdi
    Salim A. Messaoudi
    Journal of Dynamical and Control Systems, 2022, 28 : 71 - 89
  • [38] Energy Decay of Solutions for a Viscoelastic Wave Equation with Weak Nonlinear Dissipation
    Cao Xiaomin
    Yao Pengfei
    2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 972 - 975
  • [39] Multiple Solutions of a Nonlocal Problem with Nonlinear Boundary Conditions
    Liu, Jie
    Miao, Qing
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2024, 2024
  • [40] Exponential Energy Decay of Solutions for a Transmission Problem With Viscoelastic Term and Delay
    Wang, Danhua
    Li, Gang
    Zhu, Biqing
    MATHEMATICS, 2016, 4 (02)