Averaging of perturbed one sided Lipschitz differential inclusions
type: Item
instance of: scholarly article
title: Averaging of perturbed one sided Lipschitz differential inclusions
zbMATH Open document ID: 1067.34063
DOI: 10.4171/ZAA/1221
author: Mikhail Kamenskii
author: T. Donchev
author: Marc Quincampoix
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 2005-04-11T00:00:00Z
review text: The authors study an averaging method for upper semicontinuous differential inclusions in Banach spaces of the form \[ \dot x(t)\in F(t,x)+G\left(\frac{t}{\varepsilon},x\right), \,\, x(0)=x_0, \quad t\in [0,a], \,\, x\in E, \] where \(F(\cdot,\cdot), G(\cdot,\cdot)\) have nonempty convex and compact values, \(F(t,\cdot)\) is one-sided Lipschitz and maps bounded sets into bounded sets and \(E\) a Banach space with uniformly convex dual. The averaging of functional-differential inclusions is studied, too.
reviewed by: Sotiris K. Ntouyas
Mathematics Subject Classification ID: 34G25
Mathematics Subject Classification ID: 34C29
Mathematics Subject Classification ID: 34E13
zbMATH DE Number: 2155007
zbMATH Keywords: differential inclusions
zbMATH Keywords: one-sided Lipschitz
zbMATH Keywords: measure of noncompactness
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2155007