Nonautonomous Young differential equations revisited
Probability
2017-05-23 v1
Abstract
In this paper we prove that under weak conditions a nonautonomous Young differential equation possesses a unique solution which depends continuously on initial conditions. The proofs use estimates in p-variation norms, greedy time techniques, and Gronwall-type lemma with the help of Shauder theorem of fixed points.
Cite
@article{arxiv.1705.07473,
title = {Nonautonomous Young differential equations revisited},
author = {Nguyen Dinh Cong and Luu Hoang Duc and Phan Thanh Hong},
journal= {arXiv preprint arXiv:1705.07473},
year = {2017}
}