The Carathéodory \(D\)-conditions and their connection with the \(D\)-continuity of the Nemytskij operator
type: Item
instance of: scholarly article
title: The Carathéodory \(D\)-conditions and their connection with the \(D\)-continuity of the Nemytskij operator
zbMATH Open document ID: 0919.47059
author: I. V. Shragin
author: Yurii V. Nepomnyashchikh
published in: Russian Mathematics
publication date: 1998-10-18T00:00:00Z
review text: The author discusses connections between Carathéodory type conditions for a function \(f= f(t,x)\) of two variables and continuity properties of the corresponding Nemytskij operator \(F\varphi(t)= f(t,\varphi(t))\). This extends previous work by A. V. Ponosov, Yu. V. Nepomuyashchikh, and the author.
Mathematics Subject Classification ID: 47H30
zbMATH DE Number: 1175196
zbMATH Keywords: Carathéodory type conditions
zbMATH Keywords: Nemytskij operator
reviewed by: Jürgen Appell
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1175196