Subharmonic Pl-solutions of first order Hamiltonian systems

被引：5
|
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.
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页码：338 / 359
页数：22
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