Three periodic solutions for p-Hamiltonian systems

被引：10

作者：

Li, Chun ^{[1
]}

Ou, Zeng-Qi ^{[1
]}

Tang, Chun-Lei ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 05期

基金：

中国国家自然科学基金;

关键词：

p-Hamiltonian system; Periodic solution; Critical point; BOUNDARY-VALUE PROBLEM; CRITICAL-POINTS THEOREM; LAPLACIAN SYSTEMS; EXISTENCE;

D O I：

10.1016/j.na.2010.10.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of at least three periodic solutions is established for a class of p-Hamiltonian systems. Our technical approach is based on two general three critical points theorems obtained by Ricceri and Averna-Bonanno. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1596 / 1606

页数：11

共 50 条

[31] A remark on periodic solutions of singular Hamiltonian systems
Adachi, S
Tanaka, K
Terui, M
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2005, 12 (03): : 265 - 274
[32] Periodic Solutions for Subquadratic Discrete Hamiltonian Systems
Xiaoqing Deng
Advances in Difference Equations, 2007
[33] Existence of periodic solutions for Hamiltonian systems at resonance
L. Pisani
Nonlinear Differential Equations and Applications NoDEA, 1997, 4 : 61 - 76
[34] Periodic solutions of even Hamiltonian systems on the torus
Thomas Bartsch
Zhi-Qiang Wang
Mathematische Zeitschrift, 1997, 224 : 65 - 76
[35] Multiple periodic solutions for nonautonomous Hamiltonian systems
A. Daouas
N. Kallel
M. Timoumi
Archiv der Mathematik, 2002, 79 : 131 - 140
[36] Existence of periodic solutions for Hamiltonian systems at resonance
Pisani, Lorenzo
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 1997, 4 (01): : 61 - 76
[37] On periodic solutions of nonautonomous second order Hamiltonian systems with (q, p)-Laplacian
Pasca, Daniel
Wang, Zhiyong
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2016, (106) : 1 - 9
[38] PERIODIC SOLUTIONS OF HAMILTONIAN SYSTEMS WITH ANISOTROPIC GROWTH
An, Tianqing
Wang, Zhi-Qiang
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2010, 9 (04) : 1069 - 1082
[39] Periodic solutions for discrete p(k)-Laplacian systems with partially periodic potential
Zhang, Shengui
ADVANCES IN DIFFERENCE EQUATIONS, 2018,
[40] Periodic solutions for a class of nonlinear discrete Hamiltonian systems via critical point theory
Zhang, Hao
Li, Zhixiang
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2010, 16 (12) : 1381 - 1391

← 1 2 3 4 5 →