Nonexistence of solutions for differential inclusions with upper semicontinuous nonconvex right-hand side
type: Item
instance of: scholarly article
title: Nonexistence of solutions for differential inclusions with upper semicontinuous nonconvex right-hand side
zbMATH Open document ID: 0662.34018
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 1988-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/108103
review text: In this note the author considers the differential inclusion \((1)\quad \dot x(t)=f(x(t),u(t)),\) \(x(0)=0\in R^ n\), \((2)\quad u(t)\in R(x(t)),\) where \(f: R^ n\times R^ m\to R^ n\) is continuous and \(R: R^ n\to R^ m\) is an upper semicontinuous multifunction with compact convex values. The author gives two counterexamples showing that these conditions are not sufficient to ensure the existence property for (1), (2).
reviewed by: Ioan I. Vrabie
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 34A12
zbMATH DE Number: 4081990
zbMATH Keywords: nonexistence phenomenon
zbMATH Keywords: differential inclusion
author: Alberto Bressan
MaRDI profile type: Publication
cites work: Q3324260
cites work: Q5186235
description: scientific article; zbMATH DE number 4081990