一类自变量分段连续系统的振动性分析

Abstract

Abstract:

In this paper, we mainly use $\theta$-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.

Key words: Piecewise continuous arguments, Delay differential system, Numerical solutions, Oscillation, θ-methods

CLC Number:

O241.8

Ying Liu,Jianfang Gao. Oscillation Analysis of a Kind of Systems with Piecewise Continuous Arguments[J].Acta mathematica scientia,Series A, 2022, 42(3): 826-838.

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Figures/Tables 2

References 26

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Oscillation Analysis of a Kind of Systems with Piecewise Continuous Arguments

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