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.

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

Difonzo F. V.;
2024

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.
2024
Istituto per le applicazioni del calcolo - IAC - Sede Secondaria Bari
Carathéodory type conditions
Delay differential equations
Existence and uniqueness
Randomized Euler scheme
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/521273
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