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

[31] Periodic and subharmonic solutions for a class of non-autonomous Hamiltonian systems
Li, Chun
Ou, Zeng-Qi
Tang, Chun-Lei
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (04) : 2262 - 2272
[32] Existence of homoclinic solutions for a class of second-order non-autonomous Hamiltonian systems
Zhang, Qiongfen
Tang, X. H.
MATHEMATICA SLOVACA, 2012, 62 (05) : 909 - 920
[33] 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
[34] Periodic Solutions of a Second Order Non-autonomous Differential System
Jin Zhou
Acta Mathematicae Applicatae Sinica(English Series), 2003, (01) : 123 - 128
[35] Periodic Solutions of a Second Order Non-autonomous Differential System
Jin Zhou
Shu Sun
Acta Mathematicae Applicatae Sinica, 2003, 19 (1) : 123 - 128
[36] Periodic solutions of some autonomous second order Hamiltonian systems
Yang R.
Journal of Applied Mathematics and Computing, 2008, 28 (1-2) : 51 - 58
[37] A note on existence of aunique periodic solution of non-autonomous second-order Hamiltonian systems
Zhang, Lie-Hui
Wang, Yong
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2010, 347 (05): : 781 - 794
[38] Periodic solutions of non-autonomous second-order systems with a p-Laplacian
Tian, Yu
Ge, Weigao
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (01) : 192 - 203
[39] Periodic non-autonomous second-order dynamical systems
Schechter, M
JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 223 (02) : 290 - 302
[40] Periodic solutions for a quasilinear non-autonomous second-order system
Tian Y.
Zhang G.
Ge W.
Journal of Applied Mathematics and Computing, 2006, 22 (1-2) : 263 - 271

← 1 2 3 4 5 →