Time transformations for delay differentialequations

Hermann Brunner; Stefano Maset

doi:10.3934/dcds.2009.25.751

Article Contents

2009, Volume 25, Issue 3: 751-775. Doi: 10.3934/dcds.2009.25.751

This issue Previous Article Differential equations in metric spaces with applications Next Article Infinite superlinear growth of the gradient for the two-dimensional Euler equation

Time transformations for delay differential equations

Hermann Brunner^1, and
Stefano Maset^2,

1.
Department of Mathematics, Hong Kong Baptist University, Hong Kong
2.
Dipartimento di Matematica e Informatica, Università di Trieste, I-34100 Trieste

Received: June 2008

Revised: March 2009

Published: September 2009

Abstract Related Papers Cited by

Abstract

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.

Keywords:

Mathematics Subject Classification: 34K17, 34K28, 34K20.

Citation:

Article Metrics

HTML views() PDF downloads(68) Cited by(0)

Time transformations for delay differential equations

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Time transformations for delay differential equations

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content