Subharmonic Pl-solutions of first order Hamiltonian systems

被引：4

作者：

Liu, Chungen ^{[1
]}

Tang, Shanshan ^{[2
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou, Guangdong, Peoples R China

[2] Zhejiang Gongshang Univ, Sch Math & Stat, Hangzhou, Zhejiang, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 453卷 / 01期

关键词：

Subharmonic P-l-solutions; Maslov P-index; Hamiltonian systems; DIFFERENTIAL-DELAY EQUATIONS; MULTIPLE PERIODIC-SOLUTIONS; INDEX THEORY; ITERATION INEQUALITIES; CRITICAL-POINTS; MORSE INDEXES;

D O I：

10.1016/j.jmaa.2017.03.046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, for any symplectic matrix P, the existence of subharmonic P-l-solutions of the first order non-autonomous superquadratic Hamiltonian systems is considered. Under the convex condition, the existence of infinitely many geometrically distinct P-l-solutions is proved. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：338 / 359

页数：22

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