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;
  • Supported by:
    the NSFC(11771115);the NSFC(12171135)


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