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 | 2023年 / 9卷 / 02期

关键词：

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

D O I：

暂无

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 .6.2u(n -1) = VF(n, u(n)), n E Zwith a generalized sublinear condition is further explored.

引用

页码：3303 / 3319

页数：17

共 19 条

[1] A discrete second-order Hamiltonian system with asymptotically linear conditions [J].

Chen, Xiaoxing ;

Liu, Chungen ;

Zuo, Jiabin .

ELECTRONIC RESEARCH ARCHIVE, 2023, 31 (09) :5151-5160

[2] Existence of periodic solutions for second-order Hamiltonian systems with asymptotically linear conditions [J].

Chen, Xingfan ;

Guo, Fei ;

Liu, Peng .

FRONTIERS OF MATHEMATICS IN CHINA, 2018, 13 (06) :1313-1323

[3] Existence and multiplicity of periodic solutions for nonautonomous second order Hamiltonian systems [J].

Chen, Xingfan Y. ;

Guo, Fei .

BOUNDARY VALUE PROBLEMS, 2016,

[4] The existence of periodic and subharmonic solutions of subquadratic second order difference equations [J].

Guo, ZM ;

Yu, JS .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2003, 68 :419-430

[5]

Guo ZM, 2003, SCI CHINA SER A, V46, P506

[6]

Rabinowitz P.H., 1986, CBMS REG C SER MATH, V65, DOI [10.1090/cbms/065, DOI 10.1090/CBMS/065]

[7] PERIODIC-SOLUTIONS OF HAMILTONIAN SYSTEMS [J].

RABINOWITZ, PH .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1978, 31 (02) :157-184

[8] Periodic solutions for a class of new superquadratic second order Hamiltonian systems [J].

Tang, Chun-Lei ;

Wu, Xing-Ping .

APPLIED MATHEMATICS LETTERS, 2014, 34 :65-71

[9] Periodic solutions for nonautonomous second order systems with sublinear nonlinearity [J].

Tang, CL .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 126 (11) :3263-3270

[10] Periodic solutions for second-order discrete Hamiltonian systems [J].

Tang, X. H. ;

Zhang, Xingyong .

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2011, 17 (10) :1413-1430

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