Lower semi-continuous nonconvex perturbation of \(m\)-accretive differential inclusions in Banach spaces
type: Item
instance of: scholarly article
title: Lower semi-continuous nonconvex perturbation of \(m\)-accretive differential inclusions in Banach spaces
zbMATH Open document ID: 0789.34018
DOI: 10.1007/BF01877156
published in: Periodica Mathematica Hungarica
publication date: 1994-03-01T00:00:00Z
review text: An existence theorem for the time dependent differential inclusion \(x'(t) \in-A_ t (x(t))+F(t,x(t))\), \(0 \leq t \leq T\) is proved. It is assumed that \(A_ t\), \(t \in I\), is an \(m\)-accretive operator on a Banach space which satisfies some technical assumptions and \(F\) is a set-valued map which is measurable and lower semicontinuous in \(x\) with nonconvex values.
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 34D10
Mathematics Subject Classification ID: 47H06
Mathematics Subject Classification ID: 46B99
Mathematics Subject Classification ID: 34K99
zbMATH DE Number: 508808
zbMATH Keywords: existence
zbMATH Keywords: time dependent differential inclusion
author: Ahmed Ibrahim
reviewed by: Vlastimil Křivan
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01877156
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description: scientific article; zbMATH DE number 508808