Approximating the solutions of differential inclusions driven by measures

Risultato della ricerca: Article

2 Citazioni (Scopus)

Abstract

The matter of approximating the solutions of a differential problem driven by a rough measure by solutions of similar problems driven by “smoother” measures is considered under very general assumptions on the multifunction on the right-hand side. The key tool in our investigation is the notion of uniformly bounded ε-variations, which mixes the supremum norm with the uniformly bounded variation condition. Several examples to motivate the generality of our outcomes are included
Lingua originaleEnglish
pagine (da-a)2123-2140
Numero di pagine18
RivistaDefault journal
Volume198
Stato di pubblicazionePublished - 2019

Cita questo

@article{f2414351c3434ed4a3d6bd08337251bf,
title = "Approximating the solutions of differential inclusions driven by measures",
abstract = "The matter of approximating the solutions of a differential problem driven by a rough measure by solutions of similar problems driven by “smoother” measures is considered under very general assumptions on the multifunction on the right-hand side. The key tool in our investigation is the notion of uniformly bounded ε-variations, which mixes the supremum norm with the uniformly bounded variation condition. Several examples to motivate the generality of our outcomes are included",
author = "Valeria Marraffa and {Di Piazza}, Luisa",
year = "2019",
language = "English",
volume = "198",
pages = "2123--2140",
journal = "Default journal",

}

TY - JOUR

T1 - Approximating the solutions of differential inclusions driven by measures

AU - Marraffa, Valeria

AU - Di Piazza, Luisa

PY - 2019

Y1 - 2019

N2 - The matter of approximating the solutions of a differential problem driven by a rough measure by solutions of similar problems driven by “smoother” measures is considered under very general assumptions on the multifunction on the right-hand side. The key tool in our investigation is the notion of uniformly bounded ε-variations, which mixes the supremum norm with the uniformly bounded variation condition. Several examples to motivate the generality of our outcomes are included

AB - The matter of approximating the solutions of a differential problem driven by a rough measure by solutions of similar problems driven by “smoother” measures is considered under very general assumptions on the multifunction on the right-hand side. The key tool in our investigation is the notion of uniformly bounded ε-variations, which mixes the supremum norm with the uniformly bounded variation condition. Several examples to motivate the generality of our outcomes are included

UR - http://hdl.handle.net/10447/352383

M3 - Article

VL - 198

SP - 2123

EP - 2140

JO - Default journal

JF - Default journal

ER -