一类变延迟中立型微分方程梯形方法的渐近估计

Abstract

Abstract:

In this paper, we investigate the stability of the trapezoidal method for a class of neutral differential equation with variable delay and obtain the asymptotic estimation of numerical solution with the aid of a functional inequality. The asymptotic estimation is more accurate than asymptotic stability in describing the behaviours of the numerical solution, and gives the upper bound estimates of the numerical solution for the nonstable case.

Key words: Neutral delay differential equation, Trapezoidal method, Asymptotic estimation, Asymptotic stability

CLC Number:

O241.8

Gengen Zhang,Wansheng Wang,Aiguo Xiao. Asymptotic Estimation of the Trapezoidal Method for a Class of Neutral Differential Equation with Variable Delay[J].Acta mathematica scientia,Series A, 2019, 39(3): 560-569.

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References 13

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Asymptotic Estimation of the Trapezoidal Method for a Class of Neutral Differential Equation with Variable Delay

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