TIME TRANSFORMATIONS FOR DELAY DIFFERENTIAL EQUATIONS

被引：10

作者：

Brunner, Hermann ^{[1
]}

Maset, Stefano ^{[2
]}

机构：

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

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

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2009年 / 25卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Delay differential equations; variable delays; changes of variable; superconvergence; asymptotic stability; STABILITY;

D O I：

10.3934/dcds.2009.25.751

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study changes of variable, called time transformations, which reduce a delay differential equation (DDE) with a variable non-vanishing delay and an unbounded lag function to another DDE with a constant delay. By using this reduction, we can easily obtain a superconvergent integration of the original equation, even in the case of a non-strictly-increasing lag function, and study the type of decay to zero of solutions of scalar linear non-autonomous equations with a strictly increasing lag function.

引用

页码：751 / 775

页数：25

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