Multibump solutions of a class of second-order discrete Hamiltonian systems

被引：3
|
作者：
Zhang, Xu [1 ]
机构：
[1] Shandong Univ, Dept Math, Jinan 250100, Shandong, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 236卷
关键词：
Discrete Hamiltonian system; Homoclinic orbit; Multibump solution; Variational method; HOMOCLINIC ORBITS; SUBHARMONIC SOLUTIONS;
D O I：
10.1016/j.amc.2014.02.077
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For a class of second- order discrete Hamiltonian systems Delta(2)x(t-1) - L(t)x(t) + V'(x()t,x(t)) = 0. we investigate the existence of homoclinic orbits by applying variational method, where L and V(.,x) are periodic functions. Further, we show that there exist either uncountable many homoclinic orbits or multibump solutions under certain conditions. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：129 / 149
页数：21
相关论文
共 50 条
  • [21] Homoclinic Solutions for a Class of the Second-Order Impulsive Hamiltonian Systems
    Xie, Jingli
    Luo, Zhiguo
    Chen, Guoping
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [22] Homoclinic solutions for a class of subquadratic second-order Hamiltonian systems
    Sun, Juntao
    Chen, Haibo
    Nieto, Juan J.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 373 (01) : 20 - 29
  • [23] Multiple periodic solutions for superquadratic second-order discrete Hamiltonian systems
    Xue, Yan-Fang
    Tang, Chun-Lei
    APPLIED MATHEMATICS AND COMPUTATION, 2008, 196 (02) : 494 - 500
  • [24] Existence of homoclinic solutions for some second-order discrete Hamiltonian systems
    Chen, Peng
    Tang, X. H.
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2013, 19 (04) : 633 - 648
  • [25] Existence of periodic solutions for nonautonomous second-order discrete Hamiltonian systems
    Wang, Da-Bin
    Xie, Hua-Fei
    Guan, Wen
    ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [26] Infinitely many homoclinic solutions for second-order discrete Hamiltonian systems
    Chen, Huiwen
    He, Zhimin
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2013, 19 (12) : 1940 - 1951
  • [27] Existence of periodic solutions for nonautonomous second-order discrete Hamiltonian systems
    Da-Bin Wang
    Hua-Fei Xie
    Wen Guan
    Advances in Difference Equations, 2016
  • [28] Existence of periodic solutions for a class of second order discrete Hamiltonian systems
    Wen Guan
    Kuo Yang
    Advances in Difference Equations, 2016
  • [29] Existence of periodic solutions for a class of second order discrete Hamiltonian systems
    Guan, Wen
    Yang, Kuo
    ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [30] 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
12345