Multiple periodic solutions of Hamiltonian systems with prescribed energy

被引：1

作者：

An, Tianqing ^{[1
]}

机构：

[1] Hohai Univ, Dept Appl Math, Nanjing 210098, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2007年 / 236卷 / 01期

基金：

中国国家自然科学基金;

关键词：

critical point; Hamiltonian system; hypersurfaces of contact type; periodic solution; positive-type hypersurface;

D O I：

10.1016/j.jde.2007.01.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Consider the periodic solutions of autonomous Hamiltonian systems x = JVH(x) on the given compact energy hypersurface Sigma = H-1 (1). If Sigma is convex or star-shaped, there have been many remarkable contributions for existence and multiplicity of periodic solutions. It is a hard problem to discuss the multiplicity on general hypersurfaces of contact type. In this paper we prove a multiplicity result for periodic solutions on a special class of hypersurfaces of contact type more general than star-shaped ones. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：116 / 132

页数：17

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