Time transformations for state-dependent delay differential equations

Hermann BRUNNER*, S. Maset

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)23-45
Number of pages23
JournalCommunications on Pure and Applied Analysis
Volume9
Issue number1
DOIs
Publication statusPublished - Jan 2010

Scopus Subject Areas

  • Analysis
  • Applied Mathematics

User-Defined Keywords

  • Breaking points
  • Changes of variable
  • Delay differential equations
  • State-dependent delays
  • Superconvergence

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