Infinitely many periodic solutions for subquadratic second-order Hamiltonian systems

被引：6
|
作者：
Gu, Hua [1 ]
An, Tianqing [1 ]
机构：
[1] Hohai Univ, Coll Sci, Nanjing 210098, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2013年
基金：
中国国家自然科学基金;
关键词：
Periodic Solution; Hamiltonian System; Nonlinear Differential Equation; Usual Norm; Convergent Subsequence;
D O I：
10.1186/1687-2770-2013-16
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the existence of infinitely many periodic solutions for a class of subquadratic nonautonomous second-order Hamiltonian systems by using the variant fountain theorem.
引用
收藏
页数：8
相关论文
共 50 条
  • [1] Infinitely many periodic solutions for subquadratic second-order Hamiltonian systems
    Hua Gu
    Tianqing An
    Boundary Value Problems, 2013
  • [2] Infinitely many homoclinic solutions for a class of subquadratic second-order Hamiltonian systems
    Lv, Xiang
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 290 : 298 - 306
  • [3] Infinitely many homoclinic solutions for perturbed second-order Hamiltonian systems with subquadratic potentials
    Zhang, Liang
    Chen, Guanwei
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2020, (09) : 1 - 23
  • [4] Infinitely many periodic solutions for a class of second-order Hamiltonian systems
    Ming-hai Yang
    Yue-fen Chen
    Yan-fang Xue
    Acta Mathematicae Applicatae Sinica, English Series, 2016, 32 : 231 - 238
  • [5] Infinitely Many Periodic Solutions for a Class of Second-order Hamiltonian Systems
    Yang, Ming-hai
    Chen, Yue-fen
    Xue, Yan-fang
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2016, 32 (01): : 231 - 238
  • [6] Infinitely Many Rotating Periodic Solutions for Second-Order Hamiltonian Systems
    Liu, Guanggang
    Li, Yong
    Yang, Xue
    JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2019, 25 (02) : 159 - 174
  • [7] EXISTENCE OF INFINITELY MANY PERIODIC SOLUTIONS FOR SECOND-ORDER HAMILTONIAN SYSTEMS
    Gu, Hua
    An, Tianqing
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
  • [8] Infinitely Many Periodic Solutions for a Class of Second-order Hamiltonian Systems
    Ming-hai YANG
    Yue-fen CHEN
    Yan-fang XUE
    Acta Mathematicae Applicatae Sinica, 2016, 32 (01) : 231 - 238
  • [9] Infinitely Many Rotating Periodic Solutions for Second-Order Hamiltonian Systems
    Guanggang Liu
    Yong Li
    Xue Yang
    Journal of Dynamical and Control Systems, 2019, 25 : 159 - 174
  • [10] Infinitely Many Periodic Solutions for Nonautonomous Sublinear Second-Order Hamiltonian Systems
    Zhang, Peng
    Tang, Chun-Lei
    ABSTRACT AND APPLIED ANALYSIS, 2010,
12345