Periodic solutions of superlinear autonomous Hamiltonian systems with prescribed period

被引：3

作者：

An, Tianqing ^{[1
]}

机构：

[1] Hohai Univ, Coll Sci, Nanjing 210098, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 323卷 / 02期

基金：

中国国家自然科学基金;

关键词：

periodic solution; Ambrosetti-Rabinowitz-type condition; Hamiltonian system; critical point;

D O I：

10.1016/j.jmaa.2005.11.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove an existence theorem of nonconstant periodic solution of superlinear autonomous Hamiltonian system x(t) = J del H(x(t)) with prescribed period under an assumption weaker than Ambrosetti-Rabinowitz-type condition: 0 < mu H(x) <= <del H(x), x > mu > 2, vertical bar x vertical bar >= R > 0. Our result extends the pioneering work of Rabinowitz of 1978. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：854 / 863

页数：10

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