Existence, uniqueness and approximation of solutions to Carathéodory delay differential equations

Fabio Difonzo, Paweł Przybyłowicz, Yue Wu

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

In this paper we address the existence, uniqueness and approximation of solutions of delay differential equations (DDEs) with Carathéodory type right-hand side functions. We provide construction of the randomized Euler scheme for DDEs and investigate its error. We also report results of numerical experiments.
Original languageEnglish
Article number115411
Number of pages22
JournalJournal of Computational and Applied Mathematics
Volume436
Early online date28 Jun 2023
DOIs
Publication statusPublished - 15 Jan 2024

Keywords

  • delay differential equation
  • Carathéodory-type conditions
  • numerical experiments

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