Baire's category and the bang-bang property for evolution differential inclusions of contractive type
type: Item
instance of: scholarly article
title: Baire's category and the bang-bang property for evolution differential inclusions of contractive type
zbMATH Open document ID: 1211.34074
published in: Journal of Mathematical Analysis and Applications
publication date: 2010-05-10T00:00:00Z
review text: The authors discuss the bang-bang property for evolution inclusions in Banach spaces under a locally Lipschitz assumption on the multifunction, with respect to the state variable, and in the absence of any compactness conditions. The problem looks hard since no results are available under weaker assumptions than globally Lipschitz-type conditions (in infinite dimension). The approach they adopt is Baire's category method introduced by the authors in [Funkc. Ekvacioj, Ser. Int. 25, 153--162 (1982; Zbl 0535.34009)]. The deep results are presented in a plain style, understandable also to non expert readers. A rich reference list is also included.
reviewed by: Anna Salvadori
Mathematics Subject Classification ID: 34G25
zbMATH DE Number: 5706225
zbMATH Keywords: Baire category
zbMATH Keywords: evolution differential inclusions
author: F. S. de Blasi
author: Giulio Pianigiani
MaRDI profile type: Publication
full work available at URL: j.jmaa.2010.01.049
OpenAlex ID: W2049465050
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DOI: 10.1016/J.JMAA.2010.01.049
description: scientific article; zbMATH DE number 5706225