混合型脉冲微分方程的数值振动性分析  

Numerical Oscillation Analysis of the Mixed Type Impulsive Differential Equation

作　　者：闫朝琳 高建芳[1] Yan Zhaolin;Gao Jianfang(School of Mathemtical Sciences,Harbin Normal University,Harbin 150025)

机构地区：[1]哈尔滨师范大学数学科学学院,哈尔滨150025

出　　处：《数学物理学报（A辑）》2020年第4期993-1006,共14页Acta Mathematica Scientia

基　　金：哈尔滨师范大学学术创新项目(HSDSSCX2020-33)。

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.The purpose of this paper is to study oscillation ofθ-methods for linear mixed type impulsive differential equations with piecewise constant arguments.We obtain conditions under whichθ-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.

关 键 词：振动 Θ-方法 混合型脉冲微分方程 自变量分段连续 

分 类 号：O241.8[理学—计算数学]