Periodic solutions of a piecewise linear beam equation with damping and nonconstant load

被引:0
|
作者
An, Yukun [1 ,2 ]
机构
[1] Northwest Normal Univ, Coll Math & Informat Sci, Lanzhou 730070, Gansu, Peoples R China
[2] Suzhou Univ, Dept Math, Suzhou 215006, Jiangsu, Peoples R China
关键词
Piecewise linear beam equation; Damping; Periodic solution; Lyapunov-Schmidt reduction;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Using the Lyapunov-Schmidt reduction method, the authors discuss the existence and multiplicity of periodic solutions for a piecewise linear beam equation with damping and nonconstant load when the nonlinearities cross the eigenvalues. The result answers partially an open question possed by Lazer and McKenna [12].
引用
收藏
页数:12
相关论文
共 50 条
  • [21] Periodic solutions of a beam equation with jumping nonlinearity
    Sun, Xue
    Ji, Shuguan
    COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (03):
  • [22] Periodic solutions of a beam equation with jumping nonlinearity
    Xue Sun
    Shuguan Ji
    Computational and Applied Mathematics, 2024, 43
  • [23] Periodic solutions of a generalized system of piecewise linear difference equations
    Tikjha, Wirot
    Lapierre, Evelina
    Lenbury, Yongwimon
    ADVANCES IN DIFFERENCE EQUATIONS, 2015, : 1 - 15
  • [24] Periodic solutions of the wave equation with nonconstant coefficients and with homogeneous Dirichlet and Neumann boundary conditions
    I. A. Rudakov
    Differential Equations, 2016, 52 : 248 - 257
  • [25] Periodic solutions of the wave equation with nonconstant coefficients and with homogeneous Dirichlet and Neumann boundary conditions
    Rudakov, I. A.
    DIFFERENTIAL EQUATIONS, 2016, 52 (02) : 248 - 257
  • [26] Periodic solutions of a generalized system of piecewise linear difference equations
    Wirot Tikjha
    Evelina Lapierre
    Yongwimon Lenbury
    Advances in Difference Equations, 2015
  • [27] A nonlinear suspension bridge equation with nonconstant load
    Choi, QH
    Jung, T
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 35 (06) : 649 - 668
  • [28] Exact and approximate analytical solutions of oscillator with piecewise linear asymmetrical damping
    Silveira, M.
    Wahi, P.
    Fernandes, J. C. M.
    INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2019, 110 : 115 - 122
  • [29] Periodic solutions of an asymptotically linear Dirac equation
    Yanheng Ding
    Xiaoying Liu
    Annali di Matematica Pura ed Applicata (1923 -), 2017, 196 : 717 - 735
  • [30] Periodic solutions of an asymptotically linear Dirac equation
    Ding, Yanheng
    Liu, Xiaoying
    ANNALI DI MATEMATICA PURA ED APPLICATA, 2017, 196 (02) : 717 - 735