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

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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:28 Nov 2024 01:27
    URI:https://strathprints.strath.ac.uk/id/eprint/86350
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