Periodic solution for prescribed mean curvature Rayleigh equation with a singularity

被引：0
|
作者：
Yun Xin
Guixin Hu
机构：
[1] Henan Polytechnic University,College of Computer Science and Technology
[2] Henan Polytechnic University,School of Mathematics and Information Science
来源：
Advances in Difference Equations | / 2020卷
关键词：
Periodic solution; Prescribed mean curvature; Weak and strong; Attractive and repulsive; Rayleigh equation; 34B16; 34B18; 34C25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we consider the existence of a periodic solution for a prescribed mean curvature Rayleigh equation with singularity (weak and strong singularities of attractive type or weak and strong singularities of repulsive type). Our proof is based on an extension of Mawhin’s continuation theorem.
引用
收藏
相关论文
共 50 条
  • [31] THE DIRICHLET PROBLEM FOR THE EQUATION OF PRESCRIBED MEAN-CURVATURE
    WANG, G
    ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1992, 9 (06): : 643 - 655
  • [32] The prescribed mean curvature equation in weakly regular domains
    Gian Paolo Leonardi
    Giorgio Saracco
    Nonlinear Differential Equations and Applications NoDEA, 2018, 25
  • [33] The prescribed mean curvature equation in weakly regular domains
    Leonardi, Gian Paolo
    Saracco, Giorgio
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2018, 25 (02):
  • [34] Exact number of solutions of a prescribed mean curvature equation
    Li, Weisheng
    Liu, Zhaoli
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 367 (02) : 486 - 498
  • [35] Periodic solution of the generalized Rayleigh equation
    Cveticanin, L.
    El-Latif, G. M. Abd
    El-Naggar, A. M.
    Ismail, G. M.
    JOURNAL OF SOUND AND VIBRATION, 2008, 318 (03) : 580 - 591
  • [36] Positive periodic solution for p-Laplacian neutral Rayleigh equation with singularity of attractive type
    Yun Xin
    Hongmin Liu
    Zhibo Cheng
    Journal of Inequalities and Applications, 2018
  • [37] Positive periodic solution for p-Laplacian neutral Rayleigh equation with singularity of attractive type
    Xin, Yun
    Liu, Hongmin
    Cheng, Zhibo
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [38] Existence and Uniqueness of Anti-Periodic Solutions for Prescribed Mean Curvature Rayleigh p-Laplacian Equations
    Kong, Fanchao
    Lu, Shiping
    DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2020, 28 (01) : 229 - 239
  • [39] Existence and Uniqueness of Anti-Periodic Solutions for Prescribed Mean Curvature Rayleigh p-Laplacian Equations
    Fanchao Kong
    Shiping Lu
    Differential Equations and Dynamical Systems, 2020, 28 : 229 - 239
  • [40] Existence and Uniqueness of Homoclinic Solution for a Rayleigh Equation with a Singularity
    Lu, Shiping
    Jia, Xuewen
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2020, 19 (01)
12345