Hybrid Stochastic Functional Differential Equations with Infinite Delay: Approximations and Numerics
Probability
2025-12-23 v1 Numerical Analysis
Numerical Analysis
Abstract
This paper is to investigate if the solution of a hybrid stochastic functional differential equation (SFDE) with infinite delay can be approximated by the solution of the corresponding hybrid SFDE with finite delay. A positive result is established for a large class of highly nonlinear hybrid SFDEs with infinite delay. Our new theory makes it possible to numerically approximate the solution of the hybrid SFDE with infinite delay, via the numerical solution of the corresponding hybrid SFDE with finite delay.
Keywords
Cite
@article{arxiv.2512.18990,
title = {Hybrid Stochastic Functional Differential Equations with Infinite Delay: Approximations and Numerics},
author = {Guozhen Li and Xiaoyue Li and Xuerong Mao and Guoting Song},
journal= {arXiv preprint arXiv:2512.18990},
year = {2025}
}