Nonautonomous Young Differential Equations Revisited

In this paper we prove that under mild conditions a nonautonomous Young differential equation possesses a unique solution which depends continuously on initial conditions. The proofs use estimates in p-variation norms, the construction of greedy sequence of times, and Gronwall-type lemma with the he...

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Detalles Bibliográficos
Autores principales: Cong, Nguyen Dinh, Duc, Luu Hoang, Hong, Phan Thanh
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2017
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6223767/
https://www.ncbi.nlm.nih.gov/pubmed/30459489
http://dx.doi.org/10.1007/s10884-017-9634-y
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author Cong, Nguyen Dinh
Duc, Luu Hoang
Hong, Phan Thanh
author_facet Cong, Nguyen Dinh
Duc, Luu Hoang
Hong, Phan Thanh
author_sort Cong, Nguyen Dinh
collection PubMed
description In this paper we prove that under mild conditions a nonautonomous Young differential equation possesses a unique solution which depends continuously on initial conditions. The proofs use estimates in p-variation norms, the construction of greedy sequence of times, and Gronwall-type lemma with the help of Shauder theorem of fixed points.
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spelling pubmed-62237672018-11-18 Nonautonomous Young Differential Equations Revisited Cong, Nguyen Dinh Duc, Luu Hoang Hong, Phan Thanh J Dyn Differ Equ Article In this paper we prove that under mild conditions a nonautonomous Young differential equation possesses a unique solution which depends continuously on initial conditions. The proofs use estimates in p-variation norms, the construction of greedy sequence of times, and Gronwall-type lemma with the help of Shauder theorem of fixed points. Springer US 2017-12-20 2018 /pmc/articles/PMC6223767/ /pubmed/30459489 http://dx.doi.org/10.1007/s10884-017-9634-y Text en © The Author(s) 2017 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Article
Cong, Nguyen Dinh
Duc, Luu Hoang
Hong, Phan Thanh
Nonautonomous Young Differential Equations Revisited
title Nonautonomous Young Differential Equations Revisited
title_full Nonautonomous Young Differential Equations Revisited
title_fullStr Nonautonomous Young Differential Equations Revisited
title_full_unstemmed Nonautonomous Young Differential Equations Revisited
title_short Nonautonomous Young Differential Equations Revisited
title_sort nonautonomous young differential equations revisited
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6223767/
https://www.ncbi.nlm.nih.gov/pubmed/30459489
http://dx.doi.org/10.1007/s10884-017-9634-y
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