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

Difonzo, Fabio and Przybyłowicz, Paweł and Wu, Yue (2024) Existence, uniqueness and approximation of solutions to Carathéodory delay differential equations. Journal of Computational and Applied Mathematics, 436. 115411. ISSN 0377-0427 (https://doi.org/10.1016/j.cam.2023.115411)

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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.

  • Item type:Article
    ID code:86350
    Dates:
    Date
    Event
    15 January 2024
    Published
    28 June 2023
    Published Online
    19 June 2023
    Accepted
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:02 Aug 2023 10:44
    Last modified:09 Apr 2024 04:15
    URI:https://strathprints.strath.ac.uk/id/eprint/86350
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