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

Fabio Difonzo; Paweł  Przybyłowicz; Yue Wu

doi:10.1016/j.cam.2023.115411

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

Fabio Difonzo, Paweł Przybyłowicz, Yue Wu

Mathematics And Statistics

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

10 Downloads (Pure)

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 language	English
Article number	115411
Number of pages	22
Journal	Journal of Computational and Applied Mathematics
Volume	436
Early online date	28 Jun 2023
DOIs	https://doi.org/10.1016/j.cam.2023.115411
Publication status	Published - 15 Jan 2024

Keywords

delay differential equation
Carathéodory-type conditions
numerical experiments

Access to Document

10.1016/j.cam.2023.115411

Difonzo-etal-JCAM-2023-Existence-uniqueness-and-approximationAccepted author manuscript, 2.6 MBLicence: CC BY-NC-ND 4.0

Cite this

@article{ba896efe2bf84630a2ceb545fd35c4ed,

title = "Existence, uniqueness and approximation of solutions to Carath{\'e}odory delay differential equations",

abstract = "In this paper we address the existence, uniqueness and approximation of solutions of delay differential equations (DDEs) with Carath{\'e}odory 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.",

keywords = "delay differential equation, Carath{\'e}odory-type conditions, numerical experiments",

author = "Fabio Difonzo and Pawe{\l} Przyby{\l}owicz and Yue Wu",

year = "2024",

month = jan,

day = "15",

doi = "10.1016/j.cam.2023.115411",

language = "English",

volume = "436",

journal = "Journal of Computational and Applied Mathematics",

issn = "0377-0427",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - Existence, uniqueness and approximation of solutions to Carathéodory delay differential equations

AU - Difonzo, Fabio

AU - Przybyłowicz, Paweł

AU - Wu, Yue

PY - 2024/1/15

Y1 - 2024/1/15

N2 - 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.

AB - 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.

KW - delay differential equation

KW - Carathéodory-type conditions

KW - numerical experiments

U2 - 10.1016/j.cam.2023.115411

DO - 10.1016/j.cam.2023.115411

M3 - Article

SN - 0377-0427

VL - 436

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

M1 - 115411

ER -

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

Abstract

Keywords

Access to Document

Fingerprint

Cite this