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
来源：
MATHEMATICAL COMMUNICATIONS | 2017年 / 22卷 / 02期
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
  • [31] The existence of solutions of periodic BVP for second order impulsive differential equations
    Xie, Jingli
    Luo, Zhiguo
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [32] Positive periodic solutions to impulsive delay differential equations
    Daoudi-Merzagui, Naima
    Dib, Fatima
    [J]. TURKISH JOURNAL OF MATHEMATICS, 2017, 41 (04) : 969 - 982
  • [33] PERIODIC SOLUTIONS FOR SECOND ORDER SINGULAR DIFFERENTIAL SYSTEMS WITH PARAMETERS
    Wang, Fanglei
    Chu, Jifeng
    Siegmund, Stefan
    [J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2015, 46 (02) : 549 - 562
  • [34] Periodic solutions of superlinear impulsive differential equations: A geometric approach
    Qian, Dingbian
    Chen, Ling
    Sun, Xiying
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 258 (09) : 3088 - 3106
  • [35] Periodic and subharmonic solutions for second order p-Laplacian difference equations
    Liu, Xia
    Zhang, Yuanbiao
    Zheng, Bo
    Shi, Haiping
    [J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2011, 121 (04): : 457 - 468
  • [36] Periodic solutions of singular second order equations at resonance
    Yin Yin Wu
    Ding Bian Qian
    [J]. Acta Mathematica Sinica, English Series, 2015, 31 : 1599 - 1610
  • [37] Periodic Solutions of Singular Second Order Equations at Resonance
    Yin Yin WU
    Ding Bian QIAN
    [J]. Acta Mathematica Sinica,English Series, 2015, 31 (10) : 1599 - 1610
  • [38] Positive periodic solutions for systems of second order differential equations
    Dincuta-Tanase, Vasile
    [J]. CARPATHIAN JOURNAL OF MATHEMATICS, 2011, 27 (01) : 41 - 50
  • [39] POSITIVE PERIODIC SOLUTIONS FOR THIRD-ORDER NONLINEAR DIFFERENTIAL EQUATIONS
    Ren, Jingli
    Siegmund, Stefan
    Chen, Yueli
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2011,
  • [40] Positive Periodic Solutions for Singular Higher Order Delay Differential Equations
    Kong, Fanchao
    Lu, Shiping
    Luo, Zhiguo
    [J]. RESULTS IN MATHEMATICS, 2017, 72 (1-2) : 71 - 86
12345