Stability-like properties of differential inclusions
type: Item
instance of: scholarly article
title: Stability-like properties of differential inclusions
zbMATH Open document ID: 0878.93054
DOI: 10.1023/A:1008683223676
published in: Set-Valued Analysis
publication date: 1998-01-05T00:00:00Z
review text: The author studies some class of properties satisfied by at least one solution of the following Cauchy problem \[ x'(t)\in F\bigl(x(t) \bigr) \quad x(0)= x_0. \tag{1} \] He proved that for some problems, these properties are satisfied by all solutions of \[ x'(t)\in G\bigl(x(t) \bigr) \quad x(0) =x_0 \tag{2} \] where \(G\) is a subset of \(F\) \((\forall x\) \(G(x)\subset F(x))\). In this paper, existence results for such a subinclusion (2) are provided in the framework of many important problems: Invariance, viability, stability, attainability\dots.
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 93B03
zbMATH DE Number: 1045420
zbMATH Keywords: selections
zbMATH Keywords: differential inclusion
zbMATH Keywords: subinclusion
zbMATH Keywords: invariance
zbMATH Keywords: viability
zbMATH Keywords: stability
zbMATH Keywords: attainability
author: Vladimir M. Veliov
reviewed by: Marc Quincampoix
MaRDI profile type: Publication
full work available at URL: a:1008683223676
OpenAlex ID: W102634927
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description: scientific article; zbMATH DE number 1045420