Periodic solutions for a class of second-order Hamiltonian systems of prescribed energy

被引：0

作者：

Wu, Dong-Lun ^{[1
]}

Li, Chun ^{[2
]}

Yuan, Pengfei ^{[2
]}

机构：

[1] Southwest Petr Univ, Coll Sci, Chengdu 610500, Peoples R China

[2] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2015年 / 77期

基金：

中国国家自然科学基金;

关键词：

periodic solutions; prescribed energy; Hamiltonian systems; saddle point theorem; CLOSED ORBITS; FIXED ENERGY;

D O I：

10.14232/ejqtde.2015.1.77

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the existence of non-constant periodic solutions for a class of conservative Hamiltonian systems with prescribed energy is obtained by the saddle point theorem.

引用

页码：1 / 10

页数：10

共 50 条

[1] PERIODIC SOLUTIONS FOR A CLASS OF SECOND-ORDER HAMILTONIAN SYSTEMS
Bonanno, Gabriele
Livrea, Roberto
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2005,
[2] Multiple periodic solutions with prescribed minimal period to second-order Hamiltonian systems
Precup, Radu
[J]. DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2014, 29 (03): : 424 - 438
[3] Periodic and subharmonic solutions of a class of subquadratic second-order Hamiltonian systems
Jiang, Qin
Tang, Chun-Lei
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 328 (01) : 380 - 389
[4] Infinitely Many Periodic Solutions for a Class of Second-order Hamiltonian Systems
Yang, Ming-hai
Chen, Yue-fen
Xue, Yan-fang
[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2016, 32 (01): : 231 - 238
[5] Infinitely many periodic solutions for a class of second-order Hamiltonian systems
Ming-hai Yang
Yue-fen Chen
Yan-fang Xue
[J]. Acta Mathematicae Applicatae Sinica, English Series, 2016, 32 : 231 - 238
[6] Existence and multiplicity of periodic solutions for a class of second-order Hamiltonian systems
Tang, X. H.
Jiang, Jianchu
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (12) : 3646 - 3655
[7] Existence of periodic solutions for a class of second-order discrete Hamiltonian systems
Gu, Hua
An, Tianqing
[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2015, 21 (03) : 197 - 208
[8] Multiplicity of periodic solutions for a class of second-order perturbed Hamiltonian systems
Liu, Yan
Guo, Fei
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 491 (02)
[9] Infinitely Many Periodic Solutions for a Class of Second-order Hamiltonian Systems
Ming-hai YANG
Yue-fen CHEN
Yan-fang XUE
[J]. Acta Mathematicae Applicatae Sinica, 2016, 32 (01) : 231 - 238
[10] On the existence of minimal periodic solutions for a class of second-order Hamiltonian systems
Li, Chun
Ou, Zeng-Qi
Wu, Dong-Lun
[J]. APPLIED MATHEMATICS LETTERS, 2015, 43 : 44 - 48

← 1 2 3 4 5 →