Nontrivial periodic solutions for the asymptotically linear Hamiltonian systems with resonance at infinity

被引：33

作者：

Su, JB ^{[1
]}

机构：

[1] Acad Sinica, Inst Math, Beijing 100080, Peoples R China

[2] Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1998年 / 145卷 / 02期

关键词：

D O I：

10.1006/jdeq.1997.3360

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we are concerned with the existence of nontrivial periodic solutions of an asymptotically linear Hamiltonian systems when a kind of resonance condition is satisfied. We prove several new existence results via the Morse theory, the Garlerkin methods, and the Moslov index theory. (C) 1998 Academic Press.

引用

页码：252 / 273

页数：22

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