Stepsize Restrictions for Nonlinear Stability Properties of Neutral Delay Differential Equations

被引：0

作者：

Gu, Wei ^{[1
]}

Wang, Ming ^{[2
]}

Li, Dongfang ^{[3
]}

机构：

[1] Zhongnan Univ Econ & Law, Sch Math & Stat, Wuhan 430073, Peoples R China

[2] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Peoples R China

[3] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

关键词：

RUNGE-KUTTA METHODS; GENERAL LINEAR METHODS; INITIAL-VALUE PROBLEMS; NUMERICAL-SOLUTION; SYSTEMS;

D O I：

10.1155/2014/304071

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present paper is concerned with the relationship between stepsize restriction and nonlinear stability of Runge-Kutta methods for delay differential equations. We obtain a special stepsize condition guaranteeing global and asymptotical stability properties of numerical methods. Some confirmations of the conditions on Runge-Kutta methods are illustrated at last.

引用

页数：7

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