Existence principles for Carathéodory differential equations in Banach spaces
type: Item
instance of: scholarly article
title: Existence principles for Carathéodory differential equations in Banach spaces
zbMATH Open document ID: 0790.34054
DOI: 10.12775/TMNA.1993.009
author: V. Pereyra
published in: Topological Methods in Nonlinear Analysis
publication date: 1994-01-06T00:00:00Z
review text: The authors are introducing the notion of ``\(K\)-Carathéodory function'' in infinite dimensional Banach spaces. \(K\)-Carathéodory is stronger than Carathéodory. In finite dimensions these two notions are equivalent. Then the authors are investigating boundary value problems for ODE with \(K\)-Carathéodory right hand side.
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 482109
zbMATH Keywords: \(K\)-Carathéodory function
zbMATH Keywords: Banach spaces
zbMATH Keywords: boundary value problems
reviewed by: N. H. Pavel
MaRDI profile type: Publication
full work available at URL: tmna.1993.009
OpenAlex ID: W2603734691
description: scientific article; zbMATH DE number 482109