Multiple periodic solutions of the second order Hamiltonian systems with superlinear terms

被引：6

作者：

Li, Xiaoli ^{[1
,2
]}

Su, Jiabao ^{[1
]}

Tian, Rushun ^{[1
,3
]}

机构：

[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

[2] Tsinghua Univ, Dept Math, Beijing 100084, Peoples R China

[3] Utah State Univ, Dept Math & Stat, Logan, UT 84322 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 385卷 / 01期

关键词：

Hamiltonian systems; Homological linking; Morse theory; Periodic solutions; Bifurcation method; RESONANCE; EQUATION;

D O I：

10.1016/j.jmaa.2011.06.061

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of 2 pi-periodic solutions of the second order Hamiltonian systems -sic- A(t)sic = lambda x + nu'sic(t, sic) with superlinear terms and with saddle structure near the origin. Some multiplicity results are obtained by using bifurcation method, homological linking and Morse theory. (c) 2011 Elsevier Inc. All rights reserved.

引用

页码：1 / 11

页数：11

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