Time transformations for delay differential equations

Hermann BRUNNER*, Stefano Maset

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)751-775
Number of pages25
JournalDiscrete and Continuous Dynamical Systems
Volume25
Issue number3
DOIs
Publication statusPublished - Nov 2009

Scopus Subject Areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

User-Defined Keywords

  • Asymptotic stability
  • Changes of variable
  • Delay differential equations
  • Superconvergence
  • Variable delays

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