混合型脉冲微分方程的数值振动性分析

数学物理学报 ›› 2020, Vol. 40 ›› Issue (4): 993-1006.

混合型脉冲微分方程的数值振动性分析

闫朝琳,高建芳*()

^{哈尔滨师范大学数学科学学院哈尔滨 150025}

收稿日期:2018-09-05 出版日期:2020-08-26 发布日期:2020-08-20
通讯作者: 高建芳 E-mail:09151108@163.com
基金资助:
哈尔滨师范大学学术创新项目(HSDSSCX2020-33)

Numerical Oscillation Analysis of the Mixed Type Impulsive Differential Equation

Zhaolin Yan,Jianfang Gao*()

^{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)

摘要/Abstract

摘要：

该文主要研究θ-方法的自变量分段连续混合型脉冲微分方程的数值解的振动性，获得了θ-方法保持自变量分段连续混合型脉冲微分方程振动与非振动的条件.最后给出了一些算例来验证所获理论成果的正确性.

关键词: 振动, θ-方法, 混合型脉冲微分方程, 自变量分段连续

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

中图分类号:

O241.8

闫朝琳,高建芳. 混合型脉冲微分方程的数值振动性分析[J]. 数学物理学报, 2020, 40(4): 993-1006.

Zhaolin Yan,Jianfang Gao. Numerical Oscillation Analysis of the Mixed Type Impulsive Differential Equation[J]. Acta mathematica scientia,Series A, 2020, 40(4): 993-1006.

图/表 6

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参考文献 8

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