Existence, uniqueness and approximation of solutions to Caratheodory delay differential equations
arxiv(2024)
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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