Existence of periodic solutions for nonautonomous second-order discrete Hamiltonian systems

被引：0
|
作者：
Da-Bin Wang
Hua-Fei Xie
Wen Guan
机构：
[1] Lanzhou University of Technology,Department of Applied Mathematics
来源：
Advances in Difference Equations | / 2016卷
关键词：
variational minimizers; saddle point theorem; discrete Hamiltonian systems; periodic; 34C25; 58E50;
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 periodic solutions for a class of nonautonomous second-order discrete Hamiltonian systems in case the sum on the time variable of potential is periodic. The tools used in our paper are the direct variational minimizing method and Rabinowitz’s saddle point theorem.
引用
收藏
相关论文
共 50 条
  • [1] Existence of periodic solutions for nonautonomous second-order discrete Hamiltonian systems
    Wang, Da-Bin
    Xie, Hua-Fei
    Guan, Wen
    ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [2] EXISTENCE OF INFINITELY MANY PERIODIC SOLUTIONS FOR SECOND-ORDER NONAUTONOMOUS HAMILTONIAN SYSTEMS
    Guan, Wen
    Wang, Da-Bin
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
  • [3] Existence of periodic solutions for a class of second-order discrete Hamiltonian systems
    Gu, Hua
    An, Tianqing
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2015, 21 (03) : 197 - 208
  • [4] Existence and multiplicity of periodic solutions for nonautonomous second order Hamiltonian systems
    Xingfan Chen
    Fei Guo
    Boundary Value Problems, 2016
  • [5] Existence and multiplicity of periodic solutions for nonautonomous second order Hamiltonian systems
    Chen, Xingfan Y.
    Guo, Fei
    BOUNDARY VALUE PROBLEMS, 2016,
  • [6] Periodic solutions for second-order discrete Hamiltonian systems
    Tang, X. H.
    Zhang, Xingyong
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2011, 17 (10) : 1413 - 1430
  • [7] EXISTENCE OF MULTIPLE PERIODIC SOLUTIONS FOR SECOND-ORDER DISCRETE HAMILTONIAN SYSTEMS WITH PARTIALLY PERIODIC POTENTIALS
    Jiang, Qin
    Ma, Sheng
    Hu, Zhihua
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
  • [8] Multiple periodic solutions for second-order discrete Hamiltonian systems
    Yan, Sheng-Hua
    Wu, Xing-Ping
    Tang, Chun-Lei
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 234 : 142 - 149
  • [9] Multiple periodic solutions for second-order discrete Hamiltonian systems
    Wang, Da-Bin
    Guo, Man
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (02): : 410 - 418
  • [10] Periodic Solutions of Nonautonomous Second Order Hamiltonian Systems
    Shi Xia Luan
    An Min Mao
    Acta Mathematica Sinica, 2005, 21 : 685 - 690
12345