Mean reflected stochastic differential equations with two constraints
Probability
2020-05-26 v1
Abstract
We study the problem of the existence, uniqueness and stability of solutions of reflected stochastic differential equations (SDEs) with a minimality condition depending on the law of the solution (and not on the paths). We require that some functionals depending on the law of the solution lie between two given c\`adl\`ag constraints. Applications to investment models with constraints are given.
Keywords
Cite
@article{arxiv.2005.12098,
title = {Mean reflected stochastic differential equations with two constraints},
author = {Adrian Falkowski and Leszek Slominski},
journal= {arXiv preprint arXiv:2005.12098},
year = {2020}
}