具有初边值条件的集值脉冲微分方程的平均法

数学物理学报 ›› 2021, Vol. 41 ›› Issue (5): 1504-1515.

具有初边值条件的集值脉冲微分方程的平均法

王培光*(),杨凯愉()

^{河北大学数学与信息科学学院河北保定 071002}

收稿日期:2020-04-24 出版日期:2021-10-26 发布日期:2021-10-08
通讯作者: 王培光 E-mail:pgwang@hbu.edu.cn;15932002803@163.com
作者简介:杨凯愉, E-mail: 15932002803@163.com
基金资助:
国家自然科学基金(11771115);国家自然科学基金(12171135)

The Averaging Method of Set Impulsive Differential Equations with Initial and Boundary Value Conditions

Peiguang Wang*(),Kaiyu Yang()

^{College of Mathematics and Information Science, Hebei University, Hebei Baoding 071002}

Received:2020-04-24 Online:2021-10-26 Published:2021-10-08
Contact: Peiguang Wang E-mail:pgwang@hbu.edu.cn;15932002803@163.com
Supported by:
the NSFC(11771115);the NSFC(12171135)

摘要/Abstract

摘要：

该文应用全局平均法和局部加法平均法，研究了欧氏空间$ \mathbb{R}^{n} $中具有初值和多点边值问题的集值脉冲微分方程，证明了两类问题的原方程与平均方程之间解的近似关系.

关键词: 集值微分方程, 多点边值, 脉冲, 平均法

Abstract:

This paper uses the scheme of full, and partially additive averaging method to study the set impulsive differential equations with the initial and multipoint boundary value problems in Euclidean space $ \mathbb{R}^{n} $, and proves the approximate relationship of the solutions between the original equations and the average equations.

Key words: Set differential equations, Multipoint boundary value, Impulse, Averaging method

中图分类号:

O175.12

王培光,杨凯愉. 具有初边值条件的集值脉冲微分方程的平均法[J]. 数学物理学报, 2021, 41(5): 1504-1515.

Peiguang Wang,Kaiyu Yang. The Averaging Method of Set Impulsive Differential Equations with Initial and Boundary Value Conditions[J]. Acta mathematica scientia,Series A, 2021, 41(5): 1504-1515.

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