Periodic solutions of second order superquadratic Hamiltonian systems with potential changing sign (I)

被引：12

作者：

Jiang, MY ^{[1
]}

机构：

[1] Peking Univ, LMAM, Sch Math Sci, Beijing 100871, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2005年 / 219卷 / 02期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1016/j.jde.2005.06.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the periodic solutions of the second order Hamiltonian system -x-lambda x = h (t) V'(x) with V being positive and superquadratic at infinity, h being continuous, 2 pi-periodic, sign changing and satisfying <({t vertical bar h(t) > 0})over bar > boolean AND <({t vertical bar h(t) < 0})over bar > = O. Some existence and multiplicity results of periodic solutions are given. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：323 / 341

页数：19

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