Periodic solutions of non-autonomous second order Hamiltonian systems

被引：26

作者：

Zhang, Xingyong ^{[1
]}

Zhou, Yinggao ^{[1
]}

机构：

[1] Cent S Univ, Sch Mat Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 345卷 / 02期

关键词：

periodic solution; critical point; non-autonomous second-order system; Sobolev's inequality;

D O I：

10.1016/j.jmaa.2008.05.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to study the existence of periodic solutions for a class of nonautonomous second order Hamiltonian system. Some new existence theorems are obtained by the least action principle. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：929 / 933

页数：5

共 50 条

[1] ON PERIODIC SOLUTIONS OF NON-AUTONOMOUS SECOND ORDER HAMILTONIAN SYSTEMS
Zhang, Xingyong
Zhou, Yinggao
APPLICATIONS OF MATHEMATICS, 2010, 55 (05) : 373 - 384
[2] On periodic solutions of non-autonomous second order hamiltonian systems
Xingyong Zhang
Yinggao Zhou
Applications of Mathematics, 2010, 55 : 373 - 384
[3] On periodic solutions of subquadratic second order non-autonomous Hamiltonian systems
Wang, Zhiyong
Xiao, Jianzhong
APPLIED MATHEMATICS LETTERS, 2015, 40 : 72 - 77
[4] Periodic solutions of some non-autonomous second order Hamiltonian systems
Yang, Rigao
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (08) : 2333 - 2338
[5] Periodic solutions of a class of second order non-autonomous Hamiltonian systems
Wang, Zhiyong
Zhang, Jihui
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (12) : 4480 - 4487
[6] New existence of periodic solutions for second order non-autonomous Hamiltonian systems
Zhang, Qiongfen
Tang, X. H.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 369 (01) : 357 - 367
[7] The existence of periodic solutions of non-autonomous second-order Hamiltonian systems
Aizmahin, Nurbek
An, Tianqing
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (14) : 4862 - 4867
[8] EXISTENCE OF PERIODIC SOLUTIONS FOR NON-AUTONOMOUS SECOND-ORDER HAMILTONIAN SYSTEMS
Wu, Yue
An, Tianqing
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
[9] Periodic solutions of non-autonomous second order systems
Tang, CL
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 202 (02) : 465 - 469
[10] New existence results on periodic solutions of non-autonomous second order Hamiltonian systems
Wang, Zhiyong
Zhang, Jihui
APPLIED MATHEMATICS LETTERS, 2018, 79 : 43 - 50

← 1 2 3 4 5 →