Acta mathematica scientia,Series A ›› 2021, Vol. 41 ›› Issue (5): 1504-1515.

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

Peiguang Wang*(),Kaiyu Yang()   

  1. 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)

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

CLC Number: 

  • O175.12
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