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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS（2024）

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摘要

In this paper we address the existence, uniqueness and approximation of solutions of delay differential equations (DDEs) with Caratheodory 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. & COPY; 2023 Elsevier B.V. All rights reserved.

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关键词

Delay differential equations,Randomized Euler scheme,Existence and uniqueness,Caratheodory type conditions

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