TIME TRANSFORMATIONS FOR STATE-DEPENDENT DELAY DIFFERENTIAL EQUATIONS

被引：5

作者：

Brunner, H. ^{[1
]}

Maset, S. ^{[2
]}

机构：

[1] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

[2] Univ Trieste, Dept Matemat & Informat, I-34100 Trieste, Italy

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2010年 / 9卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Delay differential equations; state-dependent delays; changes of variable; breaking points; superconvergence; COLLOCATION;

D O I：

10.3934/cpaa.2010.9.23

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we analyze particular changes of variable, called time transformations, reducing a delay differential equation with a state-dependent delay to a delay differential equation with a prescribed non-state-dependent delay. We then employ these transformations to compute the breaking points of solutions and to derive optimal superconvergence results for Runge-Kutta methods for state-dependent equations.

引用

页码：23 / 45

页数：23