Subharmonic Pl-solutions of first order Hamiltonian systems

被引：4
|
作者：
Liu, Chungen [1 ]
Tang, Shanshan [2 ]
机构：
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou, Guangdong, Peoples R China
[2] Zhejiang Gongshang Univ, Sch Math & Stat, Hangzhou, Zhejiang, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 453卷 / 01期
关键词：
Subharmonic P-l-solutions; Maslov P-index; Hamiltonian systems; DIFFERENTIAL-DELAY EQUATIONS; MULTIPLE PERIODIC-SOLUTIONS; INDEX THEORY; ITERATION INEQUALITIES; CRITICAL-POINTS; MORSE INDEXES;
D O I：
10.1016/j.jmaa.2017.03.046
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, for any symplectic matrix P, the existence of subharmonic P-l-solutions of the first order non-autonomous superquadratic Hamiltonian systems is considered. Under the convex condition, the existence of infinitely many geometrically distinct P-l-solutions is proved. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：338 / 359
页数：22
相关论文
共 50 条
  • [41] Periodic and subharmonic solutions for superquadratic discrete Hamiltonian systems
    Guo, ZM
    Yu, JS
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 55 (7-8) : 969 - 983
  • [42] Periodic and subharmonic solutions for a class of second-order p-Laplacian Hamiltonian systems
    Lian, Hairong
    Wang, Dongli
    Bai, Zhanbing
    Agarwal, Ravi P.
    BOUNDARY VALUE PROBLEMS, 2014,
  • [43] Periodic and subharmonic solutions for a class of second-order p-Laplacian Hamiltonian systems
    Hairong Lian
    Dongli Wang
    Zhanbing Bai
    Ravi P Agarwal
    Boundary Value Problems, 2014
  • [44] Subharmonic solutions and homoclinic orbits of second order discrete Hamiltonian systems with potential changing sign
    Deng, Xiaoqing
    Cheng, Gong
    Shi, Haiping
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (06) : 1198 - 1206
  • [45] P-symmetric Subharmonic Solutions for Nonlinear Hamiltonian Systems
    Duan Zhi ZHANG
    Zhi Hao ZHAO
    Acta Mathematica Sinica,English Series, 2024, (06) : 1388 - 1408
  • [46] CONNECTING ORBITS FOR SUBHARMONIC SOLUTIONS IN TIME REVERSIBLE HAMILTONIAN SYSTEMS
    Chen, Chao-Nien
    Tzeng, Shyuh-Yaur
    BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, 2014, 9 (03): : 431 - 450
  • [47] P-symmetric Subharmonic Solutions for Nonlinear Hamiltonian Systems
    Zhang, Duan Zhi
    Zhao, Zhi Hao
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2024, 40 (06) : 1388 - 1408
  • [48] SUBHARMONIC SOLUTIONS OF BOUNDED COUPLED HAMILTONIAN SYSTEMS WITH SUBLINEAR GROWTH
    Chen, Fanfan
    Qian, Dingbian
    Sun, Xiying
    Wu, Yinyin
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2022, 21 (01) : 337 - 354
  • [49] Subharmonic Solutions of Planar Hamiltonian Systems: a Rotation Number Approach
    Boscaggin, Alberto
    ADVANCED NONLINEAR STUDIES, 2011, 11 (01) : 77 - 103
  • [50] The existence of periodic and subharmonic solutions to subquadratic discrete Hamiltonian systems
    Zhou, Z
    Yu, JS
    Guo, ZM
    ANZIAM JOURNAL, 2005, 47 : 89 - 102
12345