Positive periodic and subharmonic solutions of second order singular differential equations with impulsive effects

被引:0
|
作者
Liang, Zaitao [1 ]
机构
[1] Hohai Univ, Coll Sci, Dept Math, Nanjing 210098, Jiangsu, Peoples R China
关键词
Poincare-Birkhoff twist theorem; singular differential equations; periodic solutions; impulsive effects; BOUNDARY-VALUE-PROBLEMS; POINCARE-BIRKHOFF THEOREM; DUFFING EQUATIONS; MULTIPLICITY; 1ST-ORDER; SOLVABILITY; RESONANCE; EXISTENCE; SYSTEMS;
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 paper, we study the existence and multiplicity of positive periodic and subharmonic solutions of second order singular differential equations with impulsive effects. The proof is based on a generalized version of the Poincare-Birkhoff twist theorem due to Ding and the phase plane analysis methods.
引用
收藏
页码:193 / 209
页数:17
相关论文
共 50 条
  • [11] Subharmonic Solutions of Nonautonomous Second Order Differential Equations with Singular Nonlinearities
    Daoudi-Merzagui, N.
    Derrab, F.
    Boucherif, A.
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [12] On positive periodic solutions of linear second order functional differential equations
    Bravyi, Eugene I.
    GEORGIAN MATHEMATICAL JOURNAL, 2017, 24 (01) : 29 - 39
  • [13] Existence of Three Positive Periodic Solutions of Differential Equations of Second Order
    Wang, Nianpeng
    Zhao, Runhua
    Dong, Wei
    RECENT ADVANCES IN APPLIED MATHEMATICS, 2009, : 174 - +
  • [14] Periodic solutions of semilinear Duffing equations with impulsive effects
    Niu, Yanmin
    Li, Xiong
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 467 (01) : 349 - 370
  • [15] Multiplicity of positive solutions to second-order singular differential equations with a parameter
    Li, Shengjun
    Liao, Fang-fang
    Zhu, Hailong
    BOUNDARY VALUE PROBLEMS, 2014,
  • [16] PERIODIC SOLUTIONS TO SINGULAR SECOND ORDER DIFFERENTIAL EQUATIONS: THE REPULSIVE CASE
    Hakl, Robert
    Torres, Pedro J.
    Zamora, Manuel
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2012, 39 (02) : 199 - 220
  • [17] Periodic and subharmonic solutions for a class of the second-order Hamiltonian systems with impulsive effects
    Xie, Jingli
    Li, Jianli
    Luo, Zhiguo
    BOUNDARY VALUE PROBLEMS, 2015,
  • [18] Periodic solutions of singular nonautonomous second order differential equations
    Boucherif, Abdelkader
    Daoudi-Merzagui, Naima
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2008, 15 (1-2): : 147 - 158
  • [19] Existence and continuity of positive solutions on a parameter for second-order impulsive differential equations
    Tian, Yafang
    Zhang, XueMei
    BOUNDARY VALUE PROBLEMS, 2016,
  • [20] Periodic solutions of singular nonautonomous second order differential equations
    Abdelkader Boucherif
    Naima Daoudi-Merzagui
    Nonlinear Differential Equations and Applications NoDEA, 2008, 15 : 147 - 158