Periodic solutions of partially superquadratic second order Hamiltonian systems

被引：4

作者：

Jiang, MY ^{[1
]}

机构：

[1] Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2006年 / 64卷 / 09期

关键词：

periodic solutions; superquadratic Hamiltonian systems;

D O I：

10.1016/j.na.2005.07.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the periodic solutions of the Hamiltonian system - x(two over dots) = V' (X) with V being superquadratic in some directions at infinity. Some theorems on periodic solutions for superquadratic V are generalized. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1946 / 1961

页数：16

共 50 条

[1] Periodic and subharmonic solutions for a class of superquadratic second order Hamiltonian systems
Ye, Yi-Wei
Tang, Chun-Lei
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (5-6) : 2298 - 2307
[2] Periodic solutions for a class of new superquadratic second order Hamiltonian systems
Tang, Chun-Lei
Wu, Xing-Ping
APPLIED MATHEMATICS LETTERS, 2014, 34 : 65 - 71
[3] Infinitely many periodic solutions for a class of new superquadratic second-order Hamiltonian systems
Li, Chun
Agarwal, Ravi P.
Pasca, Daniel
APPLIED MATHEMATICS LETTERS, 2017, 64 : 113 - 118
[4] Periodic solutions of second order non-autonomous Hamiltonian systems with local superquadratic potential
Wang, Zhiyong
Zhang, Jihui
Zhang, Zhitao
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (10) : 3672 - 3681
[5] MULTIPLICITY OF PERIODIC SOLUTIONS FOR SECOND-ORDER PERTURBED HAMILTONIAN SYSTEMS WITH LOCAL SUPERQUADRATIC CONDITIONS
Liu, Yan
Guo, Fei
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2022, 21 (10) : 3247 - 3261
[6] Periodic and subharmonic solutions of a class of superquadratic Hamiltonian systems
Chen, SJ
Tang, CL
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 297 (01) : 267 - 284
[7] PERIODIC AND SUBHARMONIC SOLUTIONS FOR A CLASS OF SUPERQUADRATIC FIRST ORDER HAMILTONIAN SYSTEMS
Wang, Zhiyong
DIFFERENTIAL EQUATIONS & APPLICATIONS, 2023, 15 (04): : 381 - 393
[8] Homoclinic solutions for second order discrete Hamiltonian systems with superquadratic potentials
Chen, Huiwen
He, Zhimin
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2013, 19 (07) : 1147 - 1160
[9] Periodic solutions for second order Hamiltonian systems
Qiongfen Zhang
X. H. Tang
Applications of Mathematics, 2012, 57 : 407 - 425
[10] Periodic solutions for second order Hamiltonian systems
Zhang, Qiongfen
Tang, X. H.
APPLICATIONS OF MATHEMATICS, 2012, 57 (04) : 407 - 425

← 1 2 3 4 5 →