Some Boundary Feedback Control of a Nonlinear String Equation of Kirchhoff-Carrier Type

被引:0
|
作者
Kim, Daewook [1 ]
Jung, Il Hyo [1 ]
机构
[1] Pusan Natl Univ, Dept Math, Pusan 609735, South Korea
关键词
Nonlinear string equation; Asymptotic behavior; Stability; Boundary feedback control; VIBRATION; STABILIZATION;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper we study the boundary control for Nonlinear problem concerning the hyperbolic equation suggested in the study of the viscoelastic string model of Kirchhoff-Carrier type. We also give some numerical simulation for each suggested boundary conditions by feedback control.
引用
收藏
页码:254 / 257
页数:4
相关论文
共 50 条
  • [1] Normalized solutions for Kirchhoff-Carrier type equation
    Yang, Jie
    Chen, Haibo
    [J]. AIMS MATHEMATICS, 2023, 8 (09): : 21622 - 21635
  • [2] ON SOME NONLINEAR PERTURBATION OF KIRCHHOFF-CARRIER OPERATOR
    MEDEIROS, LA
    [J]. COMPUTATIONAL & APPLIED MATHEMATICS, 1994, 13 (03): : 225 - 233
  • [3] NONLINEAR KIRCHHOFF-CARRIER WAVE EQUATION IN A UNIT MEMBRANE WITH MIXED HOMOGENEOUS BOUNDARY CONDITIONS
    Nguyen Thanh Long
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2005,
  • [4] On a nonlinear Kirchhoff-Carrier wave equation associated with Robin conditions
    Nguyen Anh Triet
    Le Thi Phuong Ngoc
    Nguyen Thanh Long
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (05) : 3363 - 3388
  • [5] Stabilization of a nonlinear Kirchhoff equation by boundary feedback control
    Daewook Kim
    Yong Han Kang
    Jae Bong Lee
    Gyu Ra Ko
    Il Hyo Jung
    [J]. Journal of Engineering Mathematics, 2012, 77 : 197 - 209
  • [6] Stabilization of a nonlinear Kirchhoff equation by boundary feedback control
    Kim, Daewook
    Kang, Yong Han
    Lee, Jae Bong
    Ko, Gyu Ra
    Jung, Il Hyo
    [J]. JOURNAL OF ENGINEERING MATHEMATICS, 2012, 77 (01) : 197 - 209
  • [7] A variational approach for Kirchhoff-Carrier type non-local equation boundary value problems
    Xu, Xian
    Qin, Baoxia
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 508 (02)
  • [8] Existence results for some Kirchhoff-Carrier problems
    Guesmia, Senoussi
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (05) : 2904 - 2921
  • [9] A mixed Dirichlet-Robin problem for a nonlinear Kirchhoff-Carrier wave equation
    Nguyen Anh Triet
    Le Thi Phuong Ngoc
    Nguyen Thanh Long
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (02) : 817 - 839
  • [10] Stabilization for the Kirchhoff type equation from an axially moving heterogeneous string modeling with boundary feedback control
    Kim, Daewook
    Kim, Sangil
    Jung, Il Hyo
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (08) : 3598 - 3617