一类自变量分段连续系统的振动性分析  

Oscillation Analysis of a Kind of Systems with Piecewise Continuous Arguments

作　　者：刘莹 高建芳[1] Liu Ying;Gao Jianfang(School of Mathematical 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）》2022年第3期826-838,共13页Acta Mathematica Scientia

基　　金：国家自然科学基金(12001143);哈尔滨师范大学学术创新项目(HSDSSCX2020-33)。

摘　　要：该文主要运用θ-方法对一类滞后型自变量分段连续系统的振动性进行分析,讨论了解析解和数值解的振动性和非振动性,得到了数值方法在解析解振动条件下保持方程振动性的充分条件,并给出了数值算例.In this paper,we mainly useθ-method to analyze the oscillation of differential equations with piecewise continuous arguments of retarded type,and discuss the oscillation and non-oscillation of analytic solution and numerical solution.The sufficient conditions for the numerical methods to preserve the oscillation of the equation under the condition of the analytic solution oscillation are obtained.Meanwhile,some numerical experiments are given.

关 键 词：自变量分段连续 延迟微分系统 数值解 振动性 Θ-方法 

分 类 号：O241.8[理学—计算数学]