Three periodic solutions for p-Hamiltonian systems

被引:10
|
作者
Li, Chun [1 ]
Ou, Zeng-Qi [1 ]
Tang, Chun-Lei [1 ]
机构
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
基金
中国国家自然科学基金;
关键词
p-Hamiltonian system; Periodic solution; Critical point; BOUNDARY-VALUE PROBLEM; CRITICAL-POINTS THEOREM; LAPLACIAN SYSTEMS; EXISTENCE;
D O I
10.1016/j.na.2010.10.030
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The existence of at least three periodic solutions is established for a class of p-Hamiltonian systems. Our technical approach is based on two general three critical points theorems obtained by Ricceri and Averna-Bonanno. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1596 / 1606
页数:11
相关论文
共 50 条
  • [1] Three periodic solutions for a class of ordinary p-Hamiltonian systems
    Meng, Qiong
    BOUNDARY VALUE PROBLEMS, 2014, : 1 - 6
  • [2] On a p-Hamiltonian system
    Ding, Ling
    Li, Lin
    Li, Chun
    BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2014, 57 (01): : 45 - 57
  • [3] Periodic solutions for some nonautonomous p(t)-Laplacian Hamiltonian systems
    Zhang, Liang
    Tang, X. H.
    APPLICATIONS OF MATHEMATICS, 2013, 58 (01) : 39 - 61
  • [4] Periodic solutions for some nonautonomous p(t)-Laplacian Hamiltonian systems
    Liang Zhang
    X. H. Tang
    Applications of Mathematics, 2013, 58 : 39 - 61
  • [5] Three periodic solutions for perturbed second order Hamiltonian systems
    Cordaro, Giuseppe
    Rao, Giuseppe
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 359 (02) : 780 - 785
  • [6] Periodic solutions of Hamiltonian systems
    Ding, YH
    Lee, C
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2000, 32 (03) : 555 - 571
  • [7] Periodic solutions for a class of second order Hamiltonian systems with p(t)-Laplacian
    Zhang, Shengui
    BOUNDARY VALUE PROBLEMS, 2016,
  • [8] Periodic solutions of second order Hamiltonian systems
    Llibre, Jaume
    Makhlouf, Amar
    DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2013, 28 (02): : 214 - 221
  • [9] Periodic solutions for second-order discrete Hamiltonian systems
    Tang, X. H.
    Zhang, Xingyong
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2011, 17 (10) : 1413 - 1430
  • [10] Periodic solutions of asymptotically linear Hamiltonian systems
    Fei, GH
    Qiu, QJ
    CHINESE ANNALS OF MATHEMATICS SERIES B, 1997, 18 (03) : 359 - 372