Subharmonic solutions of Hill's equation

被引：0
|
作者：
Zhou, Zhengxin [1 ]
机构：
[1] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Jiangsu, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 253卷
关键词：
Hill's equation; Reflecting function; Periodic and subharmonic solutions; DIFFERENTIAL-SYSTEMS; PERTURBATIONS;
D O I：
10.1016/j.amc.2014.12.107
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we use the method of reflecting function to discuss the qualitative behavior of the solutions of Hill's equations. We give the necessary and sufficient conditions for Hill's equation to have some reflecting functions and apply the obtained results to discuss the existence of periodic and subharmonic solutions of non-homogeneous Hill's equation. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：17 / 22
页数：6
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