IMPULSIVE PERIODIC SOLUTIONS FOR SINGULAR PROBLEMS VIA VARIATIONAL METHODS

被引:12
|
作者
Sun, Juntao [1 ]
O'Regan, Donal [2 ]
机构
[1] Shandong Univ Technol, Sch Sci, Zibo 255049, Shandong, Peoples R China
[2] Natl Univ Ireland, Dept Math, Galway, Ireland
关键词
Periodic solutions; impulse; singular problems; variational methods; mountain pass theorem; 2ND-ORDER DIFFERENTIAL-EQUATIONS; BOUNDARY-VALUE-PROBLEMS; PULSE VACCINATION; SYSTEMS; MULTIPLICITY; CONTROLLABILITY; DYNAMICS;
D O I
10.1017/S0004972711003509
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we study impulsive periodic solutions for second-order nonautonomous singular differential equations. Our proof is based on the mountain pass theorem. Some recent results in the literature are extended.
引用
收藏
页码:193 / 204
页数:12
相关论文
共 50 条
  • [31] Periodic solutions of semilinear Duffing equations with impulsive effects
    Niu, Yanmin
    Li, Xiong
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 467 (01) : 349 - 370
  • [32] NECESSARY AND SUFFICIENT CONDITIONS FOR THE EXISTENCE OF PERIODIC SOLUTION TO SINGULAR PROBLEMS WITH IMPULSES
    Sun, Juntao
    Chu, Jifeng
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
  • [33] Boundary value problems of a discrete generalized beam equation via variational methods
    Liu, Xia
    Zhou, Tao
    Shi, Haiping
    OPEN MATHEMATICS, 2018, 16 : 1412 - 1422
  • [34] MULTIPLICITY OF SOLUTIONS OF VARIATIONAL SYSTEMS INVOLVING φ-LAPLACIANS WITH SINGULAR φ AND PERIODIC NONLINEARITIES
    Mawhin, Jean
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2012, 32 (11) : 4015 - 4026
  • [35] Cantor families of periodic solutions for wave equations via a variational principle
    Berti, Massimiliano
    Bolle, Philippe
    ADVANCES IN MATHEMATICS, 2008, 217 (04) : 1671 - 1727
  • [36] PERIODIC SOLUTIONS OF SINGULAR EQUATIONS
    Urena, Antonio J.
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2016, 47 (01) : 55 - 72
  • [37] Existence and multiplicity of solutions for a class of damped vibration problems with impulsive effects
    Zhou, Jianwen
    Li, Yongkun
    ANNALES POLONICI MATHEMATICI, 2011, 100 (01) : 87 - 98
  • [38] Variational properties of nonlocal singular problems
    Canino, Annamaria
    Montoro, Luigi
    Sciunzi, Berardino
    Trombetta, Alessandro
    NONLINEARITY, 2023, 36 (08) : 4034 - 4052
  • [39] Existence of nonzero solutions for a class of damped vibration problems with impulsive effects
    Bai, Liang
    Dai, Binxiang
    APPLICATIONS OF MATHEMATICS, 2014, 59 (02) : 145 - 165
  • [40] APPLICATIONS OF VARIATIONAL METHODS TO IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS WITH A PARAMETER
    Gao, Dongdong
    Li, Jianli
    DYNAMIC SYSTEMS AND APPLICATIONS, 2018, 27 (04): : 973 - 987