[1]姚慧丽,张悦娇,侯盛楠. 一类带有逐段常变量的二阶微分方程的概周期解[J].哈尔滨理工大学学报,2019,(03):143-148.[doi:10.15938/j.jhust.2019.03.024]
 YAO Hui li,ZHANG Yue jiao,HOU Sheng nan. Almost Periodic Solutions on a Class Secondorder Differential Equations with Piecewise Constant Argument[J].哈尔滨理工大学学报,2019,(03):143-148.[doi:10.15938/j.jhust.2019.03.024]
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 一类带有逐段常变量的二阶微分方程的概周期解()
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《哈尔滨理工大学学报》[ISSN:1007-2683/CN:23-1404/N]

卷:
期数:
2019年03期
页码:
143-148
栏目:
数理科学
出版日期:
2019-06-24

文章信息/Info

Title:
 Almost Periodic Solutions on a Class Secondorder Differential Equations with Piecewise Constant Argument
文章编号:
1007-2683(2019)03-0143-06
作者:
 姚慧丽张悦娇侯盛楠
 (哈尔滨理工大学 理学院,黑龙江 哈尔滨 150080
Author(s):
 YAO HuiliZHANG YuejiaoHOU Shengnan
 (School of Applied Sciences, Harbin University of Science and Technology, Harbin 150080, China)
关键词:
概周期解概周期序列解微分方程差分方程逐段常变量
Keywords:
 almost periodic solutions almost periodic sequence solutions differential equations difference equations piecewise constant argument
分类号:
O177.9
DOI:
10.15938/j.jhust.2019.03.024
文献标志码:
A
摘要:
 基于微分方程的概周期解比周期解更具有一般性,本文将对一类带有逐段常变量的二阶微分方程的概周期解进行研究。根据这类方程的解在整数点的连续性,构造了一类非齐次差分方程。利用对应的齐次差分方程的特征根,并借助于相应的差分方程的概周期序列解和概周期函数以及概周期序列的一些性质,探讨了这类方程的概周期解的存在性以及该类解的唯一性。
Abstract:
 Almost periodic solutions of differential equations are more general than periodic solutions, so almost periodic solutions will be studied on a class secondorder differential equations with piecewise constant argument.  A class of nonhomogeneous difference equations are constructed by the continuity of solutions at the integer point of this class of equations.  The existence of almost periodic solutions and the uniqueness of this kind of solutions on this class of equations are investigated by using of eigenvalue of corresponding homogeneous difference equations, almost periodic sequence solutions of relevant difference equations and some properties of almost periodic functions and almost periodic sequences.

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备注/Memo

备注/Memo:
 收稿日期: 2017-05-25
基金项目: 黑龙江省教育厅科学技术研究项目(12511110)
作者简介:
张悦娇(1993—),女,硕士研究生;
侯盛楠(1983—),女,硕士研究生
通信作者:
姚慧丽(1970—),女,博士,教授,E-mail:Huili_yao@sohu.com.
更新日期/Last Update: 2019-06-21