Periodic solutions of nonautonomous second-order Hamiltonian systems with even-typed potentials

被引：21

作者：

Wu, XP ^{[1
]}

Tang, CL ^{[1
]}

机构：

[1] SW Normal Univ, Dept Math, Chongqing 400715, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2003年 / 55卷 / 06期

关键词：

periodic solution; second-order Hamiltonian system; coercivity; Sobolev's inequality; critical point;

D O I：

10.1016/j.na.2003.08.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some existence and multiplicity theorems are obtained for periodic solutions of nonautonomous second-order Hamiltonian systems with even-typed potentials by the least action principle and the minimax methods in critical point theory. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：759 / 769

页数：11

共 50 条

[1] Periodic solutions of a class of nonautonomous second-order Hamiltonian systems with nonsmooth potentials
Ning, Yan
An, Tianqing
BOUNDARY VALUE PROBLEMS, 2015,
[2] Periodic solutions of a class of nonautonomous second-order Hamiltonian systems with nonsmooth potentials
Yan Ning
Tianqing An
Boundary Value Problems, 2015
[3] Multiple periodic solutions for a class of non-autonomous hamiltonian systems with even-typed potentials
Tian, Yu
Ge, Weigao
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2012, 18 (03) : 339 - 354
[4] Multiple periodic solutions for a class of non-autonomous hamiltonian systems with even-typed potentials
Yu Tian
Weigao Ge
Journal of Dynamical and Control Systems, 2012, 18 : 339 - 354
[5] Periodic solutions for second-order even and noneven Hamiltonian systems
Juan Xiao
Xueting Chen
Boundary Value Problems, 2024
[6] Existence of periodic solutions for nonautonomous second-order discrete Hamiltonian systems
Wang, Da-Bin
Xie, Hua-Fei
Guan, Wen
ADVANCES IN DIFFERENCE EQUATIONS, 2016,
[7] Existence of periodic solutions for nonautonomous second-order discrete Hamiltonian systems
Da-Bin Wang
Hua-Fei Xie
Wen Guan
Advances in Difference Equations, 2016
[8] Periodic solutions of nonautonomous second order Hamiltonian systems
Luan, SX
Mao, AM
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2005, 21 (04) : 685 - 690
[9] Periodic Solutions of Nonautonomous Second Order Hamiltonian Systems
Shi Xia Luan
An Min Mao
Acta Mathematica Sinica, 2005, 21 : 685 - 690
[10] Periodic Solutions of Nonautonomous Second Order Hamiltonian Systems
Shi Xia LUAN An Min MAO Department of Mathematics
Acta Mathematica Sinica,English Series, 2005, 21 (04) : 685 - 690

← 1 2 3 4 5 →