Existence theorems for differential inclusions with nonconvex right-hand side
type: Item
instance of: scholarly article
title: Existence theorems for differential inclusions with nonconvex right-hand side
zbMATH Open document ID: 0611.34053
DOI: 10.1155/S0161171286000595
author: Nikolaos S. Papageorgiou
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46140
review text: The author deals with the existence of solutions to the Cauchy problem for a differential inclusion x'(t)\(\in F(t,x(t))\) with a multivalued nonconvex right-hand side, where x takes values in a separable Banach space. One uses Caratheodory conditions, Kuratowski measure of noncompactness, Kamke functions, etc. Some previous results in this direction are extended.
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 34A60
zbMATH DE Number: 3987749
zbMATH Keywords: Cauchy problem
zbMATH Keywords: differential inclusion
zbMATH Keywords: multivalued nonconvex right-hand side
zbMATH Keywords: Kuratowski measure of noncompactness
zbMATH Keywords: Kamke functions
reviewed by: N. H. Pavel
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3987749