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
  • [41] Infinitely many homoclinic solutions for some second order Hamiltonian systems
    Yang, Liu
    Chen, Haibo
    Sun, Juntao
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (17) : 6459 - 6468
  • [42] Periodic solutions for a kind of second-order Hamiltonian Systems
    Tao, Zhulian
    Tian, Yanfang
    Dan, Qi
    WAVELET ACTIVE MEDIA TECHNOLOGY AND INFORMATION PROCESSING, VOL 1 AND 2, 2006, : 606 - +
  • [43] Periodic solutions for nonsmooth second-order Hamiltonian systems
    Deng, Yiyang
    Li, Fengying
    Li, Bingyu
    Lv, Ying
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (18) : 9502 - 9510
  • [44] PERIODIC SOLUTIONS FOR A CLASS OF SECOND-ORDER HAMILTONIAN SYSTEMS
    Bonanno, Gabriele
    Livrea, Roberto
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2005,
  • [45] Periodic solutions for second-order discrete Hamiltonian systems
    Tang, X. H.
    Zhang, Xingyong
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2011, 17 (10) : 1413 - 1430
  • [46] Periodic and subharmonic solutions of second-order Hamiltonian systems
    Tao, ZL
    Tang, CL
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 293 (02) : 435 - 445
  • [47] Existence of homoclinic solutions for a class of second-order Hamiltonian systems with subquadratic growth
    Zhang, Dan
    BOUNDARY VALUE PROBLEMS, 2012,
  • [48] Existence of homoclinic solutions for a class of second-order Hamiltonian systems with subquadratic growth
    Dan Zhang
    Boundary Value Problems, 2012
  • [49] Infinitely many periodic solutions for some second-order differential systems with p(t)-Laplacian
    Zhang, Liang
    Tang, Xian Hua
    Chen, Jing
    BOUNDARY VALUE PROBLEMS, 2011, : 1 - 15
  • [50] Infinitely many periodic solutions for some second-order differential systems with p(t)-Laplacian
    Liang Zhang
    Xian Hua Tang
    Jing Chen
    Boundary Value Problems, 2011
12345