Approximating the solutions of differential inclusions driven by measures

Satco, B.

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)-
Numero di pagine0
RivistaAnnali di Matematica Pura ed Applicata
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 = "{Satco, B.} and Valeria Marraffa and {Di Piazza}, Luisa",
year = "2019",
language = "English",
pages = "--",
journal = "Annali di Matematica Pura ed Applicata",
issn = "0373-3114",
publisher = "Springer Verlag",

}

TY - JOUR

T1 - Approximating the solutions of differential inclusions driven by measures

AU - Satco, B.

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

SP - -

JO - Annali di Matematica Pura ed Applicata

JF - Annali di Matematica Pura ed Applicata

SN - 0373-3114

ER -