Existence, uniqueness and approximation of solutions to Carath\'eodory delay differential equations
Numerical Analysis
2023-06-22 v2 Numerical Analysis
Abstract
In this paper we address the existence, uniqueness and approximation of solutions of delay differential equations (DDEs) with Carath\'eodory type right-hand side functions. We provide construction of randomized Euler scheme for DDEs and investigate its error. We also report results of numerical experiments.
Cite
@article{arxiv.2204.02016,
title = {Existence, uniqueness and approximation of solutions to Carath\'eodory delay differential equations},
author = {Fabio V. Difonzo and Paweł Przybyłowicz and Yue Wu},
journal= {arXiv preprint arXiv:2204.02016},
year = {2023}
}