单支方法关于多延迟Pantograph方程的稳定性分析

Stability Analysis of One-leg Methods for Multidelay-pantograph Equation

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摘要本文主要讨论了单支方法关于多延迟pantograph方程解的存在唯一性及渐近稳定性 ,同时将非线性多延迟系统数值解的有关结论推广到多延迟pantograph方程 ,证明了单支方法对于ODEs的A(α) 稳定等价于单支方法关于多延迟pantograph方程NGPk(α) 稳定 . In this paper, we deal with the numerical solution and its asymptotic stability of one-leg methods for multidelay pantograph equation. it is proved that A(α)-stability of one-leg methods for ODEs is equivalent to NGP k(α)-Stability of the methods for multidelay pantograph equation.

作者黄枝姣

机构地区武汉科技大学城市建设学院

出处《应用数学》 CSCD 北大核心 2001年第S1期217-220,共4页 Mathematica Applicata

关键词单支方法多延迟pantograph方程渐近稳定性 A(α)-稳定 NGPk(α)-稳定 One-leg methods Multidelay-pantograph Asymptotic stability NGP k（α）-Stability A（α）-stability.

分类号 O241.81 [理学—计算数学]

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参考文献1

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单支方法关于多延迟Pantograph方程的稳定性分析

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