Existence and approximation results to the Cauchy problem for a class of differential-algebraic equations
type: Item
instance of: scholarly article
title: Existence and approximation results to the Cauchy problem for a class of differential-algebraic equations
zbMATH Open document ID: 0772.34003
DOI: 10.4171/ZAA/458
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1992-08-13T00:00:00Z
review text: Summary: For a class of differential-algebraic equations arising for example in modelling electrical circuits conditions are derived which ensure the existence of a unique solution of the Cauchy problem on any finite interval and its computation by means of a wave form relaxation algorithm in case of a large system. The solution concepts is understood in the sense of Carathéodory.
Mathematics Subject Classification ID: 34A09
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 65J99
Mathematics Subject Classification ID: 94C05
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 37-XX
zbMATH DE Number: 40541
zbMATH Keywords: differential-algebraic equations
zbMATH Keywords: electrical circuits
zbMATH Keywords: existence
zbMATH Keywords: Cauchy problem
zbMATH Keywords: computation
zbMATH Keywords: wave form relaxation algorithm
zbMATH Keywords: large system
author: Klaus R. Schneider
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 40541