Absolute continuity and existence of solutions to dynamic inclusions in time scales
type: Item
instance of: scholarly article
title: Absolute continuity and existence of solutions to dynamic inclusions in time scales
zbMATH Open document ID: 1277.34126
published in: Mathematische Annalen
publication date: 2013-05-30T00:00:00Z
review text: The authors provide results about the existence of solutions to a system of dynamical inclusions on time scales. There are several preparatory sections about certain notions for time scales, such as absolute continuity, Euler solutions, measurability, semi-continuity, Gronwall inequality. The main theorem then states that an initial value problem associated to the dynamic equation \[ x^\Delta(t) \in F(t,x(t)) \quad\text{a.e.} \] with appropriate properties of the multifunction \(F\) has a solution.
reviewed by: Stefan Hilger
Mathematics Subject Classification ID: 34N05
Mathematics Subject Classification ID: 34A60
zbMATH DE Number: 6168457
zbMATH Keywords: dynamic inclusion
zbMATH Keywords: time scales
zbMATH Keywords: absolute continuity
author: Iguer Luis Domini dos Santos
author: Geraldo Nunes Silva
MaRDI profile type: Publication
full work available at URL: s00208-012-0851-8
OpenAlex ID: W2088058403
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DOI: 10.1007/S00208-012-0851-8
description: scientific article; zbMATH DE number 6168457