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
Descripción
Sumario: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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