Periodic solutions of a class of non-autonomous second-order discrete Hamiltonian systems

被引：0

作者：

He, Huiting ^{[1
]}

Liu, Chungen ^{[1
]}

Zuo, Jiabin ^{[1
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 02期

关键词：

periodic solution; control function; the least action principle; saddle point theorem;

D O I：

10.3934/math.2024161

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, in the view of control functions, the existence of periodic solutions of the following second-order discrete Hamiltonian system A2u(n - 1) = VF(n, u(n)), n E Z with a generalized sublinear condition is further explored.

引用

页码：3303 / 3319

页数：17

共 50 条

[41] PERIODIC SOLUTIONS FOR NON-AUTONOMOUS SECOND-ORDER DIFFERENTIAL SYSTEMS WITH (q,p)-LAPLACIAN
Li, Chun
Ou, Zeng-Qi
Tang, Chun-Lei
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
[42] Saddle point characterization and multiplicity of periodic solutions of non-autonomous second-order systems
Wu, X
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 58 (7-8) : 899 - 907
[43] HOMOCLINIC SOLUTIONS FOR A CLASS OF SECOND ORDER NON-AUTONOMOUS SYSTEMS
Yuan, Rong
Zhang, Ziheng
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2009,
[44] SUBHARMONIC SOLUTIONS FOR NON-AUTONOMOUS SECOND-ORDER SUBLINEAR HAMILTONIAN SYSTEMS WITH p-LAPLACIAN
Wang, Zhiyong
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2011,
[45] Multiple periodic solutions for superquadratic second-order discrete Hamiltonian systems
Xue, Yan-Fang
Tang, Chun-Lei
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 196 (02) : 494 - 500
[46] Existence of periodic solutions for nonautonomous second-order discrete Hamiltonian systems
Wang, Da-Bin
Xie, Hua-Fei
Guan, Wen
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2016,
[47] Existence of periodic solutions for nonautonomous second-order discrete Hamiltonian systems
Da-Bin Wang
Hua-Fei Xie
Wen Guan
[J]. Advances in Difference Equations, 2016
[48] Existence of periodic solutions for a class of second order discrete Hamiltonian systems
Wen Guan
Kuo Yang
[J]. Advances in Difference Equations, 2016
[49] Existence of periodic solutions for a class of second order discrete Hamiltonian systems
Guan, Wen
Yang, Kuo
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2016,
[50] PERIODIC SOLUTION FOR NON-AUTONOMOUS SECOND ORDER HAMILTONIAN SYSTEMS ON TIME SCALES
Su, You-Hui
Li, Wan-Tong
[J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2009, 18 (3-4): : 621 - 636

← 1 2 3 4 5 →