A geometric treatment of implicit differential-algebraic equations
type: Item
instance of: scholarly article
title: A geometric treatment of implicit differential-algebraic equations
zbMATH Open document ID: 0804.34004
author: P. J. Rabier
author: Werner C. Rheinboldt
published in: Journal of Differential Equations
publication date: 1994-06-15T00:00:00Z
review text: The existence and uniqueness of implicit differential-algebraic equations are proved using a differential-geometric approach to transfer the problem into explicit ordinary differential equations and applying standard theory of ordinary differential equations. The new ``geometric treatment'' requires weaker rank conditions than what is usually seen. Furthermore an intrinsic index definition of DAEs is presented.
Mathematics Subject Classification ID: 34A09
Mathematics Subject Classification ID: 34A26
zbMATH DE Number: 589983
zbMATH Keywords: geometric treatment
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: implicit differential- algebraic equations
zbMATH Keywords: differential-geometric approach
zbMATH Keywords: intrinsic index definition
reviewed by: Claus Bendtsen
MaRDI profile type: Publication
full work available at URL: jdeq.1994.1046
OpenAlex ID: W2086109166
DOI: 10.1006/JDEQ.1994.1046
description: scientific article; zbMATH DE number 589983