Periodic solutions for some second order Hamiltonian systems

被引：14

作者：

Zhang, Shiqing ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

来源：

NONLINEARITY | 2009年 / 22卷 / 09期

关键词：

PRESCRIBED ENERGY; CLOSED ORBITS; FIXED ENERGY; THEOREMS;

D O I：

10.1088/0951-7715/22/9/005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use the saddle point theorem of Benci-Rabinowitz to study the existence of periodic solutions with a fixed energy for second order Hamiltonian conservative systems without any symmetry; the key difficulty of the proof is proving the Palais-Smale condition and the non-constant property for the minimax critical point.

引用

页码：2141 / 2150

页数：10

共 50 条

[21] Periodic Solutions of Nonautonomous Second Order Hamiltonian Systems
Shi Xia LUAN An Min MAO Department of Mathematics
ActaMathematicaSinica(EnglishSeries), 2005, 21 (04) : 685 - 690
[22] Periodic solutions for some second order systems
Meng, Fengjuan
Zhang, Fubao
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (11) : 3388 - 3396
[23] Periodic solutions for nonsmooth second-order Hamiltonian systems
Deng, Yiyang
Li, Fengying
Li, Bingyu
Lv, Ying
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (18) : 9502 - 9510
[24] Multibump solutions for perturbations of periodic second order Hamiltonian systems
Montecchiari, P
Nolasco, M
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1996, 27 (12) : 1355 - 1372
[25] ON PERIODIC SOLUTIONS OF SECOND ORDER HAMILTONIAN SYSTEMS .1.
BERGER, MS
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1970, 29 (03) : 512 - &
[26] Periodic and subharmonic solutions of second-order Hamiltonian systems
Tao, ZL
Tang, CL
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 293 (02) : 435 - 445
[27] Three periodic solutions for perturbed second order Hamiltonian systems
Cordaro, Giuseppe
Rao, Giuseppe
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 359 (02) : 780 - 785
[28] Notes on Multiple Periodic Solutions for Second Order Hamiltonian Systems
Yiwei Ye
Shan Liu
Qualitative Theory of Dynamical Systems, 2022, 21
[29] Periodic solutions for a class of nonautonomous second order Hamiltonian systems
He, Xiumei
Wu, Xian
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 341 (02) : 1354 - 1364
[30] Multibump solutions for perturbations of periodic second order Hamiltonian systems
Montecchiari, Piero
Nolasco, Margherita
Nonlinear Analysis, Theory, Methods and Applications, 1996, 27 (12): : 1355 - 1372

← 1 2 3 4 5 →