Periodic solutions for some nonautonomous second order Hamiltonian systems

被引：27

作者：

Ye, Yi-Wei ^{[1
]}

Tang, Chun-Lei ^{[1
,2
]}

机构：

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

[2] Chinese Univ Hong Kong, Inst Math Sci, Hong Kong, Hong Kong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 344卷 / 01期

基金：

中国国家自然科学基金;

关键词：

periodic solution; second order Hamiltonian system; saddle point theorem; generalized mountain pass theorem; (PS) condition; Sobolev's inequality; Wirtinger's inequality;

D O I：

10.1016/j.jmaa.2008.03.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence and multiplicity of periodic solutions are obtained for nonautonomous second order Hamiltonian systems by the minimax methods in critical point theory. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：462 / 471

页数：10

共 50 条

[41] Existence and multiplicity of periodic solutions for nonautonomous second order systems
Tang, CL
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 32 (03) : 299 - 304
[42] Periodic solutions of second-order nonautonomous dynamical systems
Martin Schechter
Boundary Value Problems, 2006
[43] NONAUTONOMOUS SECOND ORDER PERIODIC SYSTEMS: EXISTENCE AND MULTIPLICITY OF SOLUTIONS
Barletta, Giuseppina
Papageorgiou, Nikolaos S.
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2007, 8 (03) : 373 - 390
[44] New existence results on periodic solutions of nonautonomous second order Hamiltonian systems with (q, p)-Laplacian
Pasca, Daniel
Wang, Zhiyong
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2013, 20 (01) : 155 - 166
[45] Periodic solutions for some nonautonomous p(t)-Laplacian Hamiltonian systems
Liang Zhang
X. H. Tang
Applications of Mathematics, 2013, 58 : 39 - 61
[46] On the Periodic Solutions of Hamiltonian Systems of Second--order
邓诗涛
Acta Mathematica Sinica, 1985, (04) : 319 - 326
[47] On the existence of periodic solutions to second order Hamiltonian systems
Ke, Xiao-Feng
Liao, Jia-Feng
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2022, (36) : 1 - 12
[48] The stability of the periodic solutions of second order Hamiltonian systems
Liu, CG
CHINESE ANNALS OF MATHEMATICS SERIES B, 2000, 21 (02) : 225 - 232
[49] THE STABILITY OF THE PERIODIC SOLUTIONS OF SECOND ORDER HAMILTONIAN SYSTEMS
LIU CHUNGEN(Department of Mathematics
Chinese Annals of Mathematics, 2000, (02) : 225 - 232
[50] On the Periodic Solutions of Hamiltonian Systems of Second--order
邓诗涛
Acta Mathematica Sinica,English Series, 1985, (04) : 319 - 326

← 1 2 3 4 5 →