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math.NA2024★ 1 cited
A Randomized Runge-Kutta Method for time-irregular delay differential equations
Fabio V. Difonzo, Paweł Przybyłowicz, Yue Wu +1
In this paper we investigate the existence, uniqueness and approximation of solutions of delay differential equations (DDEs) with the right-hand side functions that ar…
math.NA2023
On approximation of solutions of stochastic delay differential equations via randomized Euler scheme
Paweł Przybyłowicz, Yue Wu, Xinheng Xie
We investigate existence, uniqueness and approximation of solutions to stochastic delay differential equations (SDDEs) under Carathéodory-type drift coefficients. Moreover, we also…