On periodic solutions of subquadratic second order non-autonomous Hamiltonian systems

被引：14

作者：

Wang, Zhiyong ^{[1
]}

Xiao, Jianzhong ^{[1
]}

机构：

[1] Nanjing Univ Informat Sci &Technol, Dept Math, Nanjing 210044, Jiangsu, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2015年 / 40卷

基金：

中国国家自然科学基金;

关键词：

Periodic solution; Second order system; Subquadratic condition; Minimax methods; EXISTENCE;

D O I：

10.1016/j.aml.2014.09.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are concerned with the existence of periodic solutions for second order non-autonomous Hamiltonian systems under a new subquadratic growth condition. By using the minimax methods in critical point theory, an existence theorem is obtained, which extends and improves some known results in the literature. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：72 / 77

页数：6

共 50 条

[1] On periodic solutions of non-autonomous second order hamiltonian systems
Xingyong Zhang
Yinggao Zhou
Applications of Mathematics, 2010, 55 : 373 - 384
[2] ON PERIODIC SOLUTIONS OF NON-AUTONOMOUS SECOND ORDER HAMILTONIAN SYSTEMS
Zhang, Xingyong
Zhou, Yinggao
APPLICATIONS OF MATHEMATICS, 2010, 55 (05) : 373 - 384
[3] Periodic solutions of non-autonomous second order Hamiltonian systems
Zhang, Xingyong
Zhou, Yinggao
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 345 (02) : 929 - 933
[4] Homoclinic solutions for a class of non-autonomous subquadratic second-order Hamiltonian systems
Zhang, Ziheng
Yuan, Rong
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (09) : 4125 - 4130
[5] Periodic solutions of some non-autonomous second order Hamiltonian systems
Yang, Rigao
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (08) : 2333 - 2338
[6] 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
[7] 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
[8] 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
[9] EXISTENCE OF PERIODIC SOLUTIONS FOR NON-AUTONOMOUS SECOND-ORDER HAMILTONIAN SYSTEMS
Wu, Yue
An, Tianqing
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
[10] Periodic solutions of non-autonomous second order systems
Tang, CL
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 202 (02) : 465 - 469

← 1 2 3 4 5 →