Acta mathematica scientia,Series A ›› 2020, Vol. 40 ›› Issue (4): 993-1006.

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Numerical Oscillation Analysis of the Mixed Type Impulsive Differential Equation

Zhaolin Yan,Jianfang Gao*()   

  1. School of Mathemtical Sciences, Harbin Normal University, Harbin 150025
  • Received:2018-09-05 Online:2020-08-26 Published:2020-08-20
  • Contact: Jianfang Gao E-mail:09151108@163.com
  • Supported by:
    the Academic Innovation Project of Harbin Normal University(HSDSSCX2020-33)

Abstract:

The purpose of this paper is to study oscillation of θ-methods for linear mixed type impulsive differential equations with piecewise constant arguments. We obtain conditions under which θ-methods can preserve the oscillation and non-oscillation for linear mixed type impulsive differential equations with piecewise constant arguments. The numerical examples are given to confirm the theoretical results.

Key words: Oscillation, θ-Methods, Mixed type impulsive differential equations, Piecewise constant arguments

CLC Number: 

  • O241.8
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