Generating flows on metric spaces
type: Item
instance of: scholarly article
title: Generating flows on metric spaces
zbMATH Open document ID: 0996.37018
author: Craig Calcaterra
author: David D. Bleecker
published in: Journal of Mathematical Analysis and Applications
publication date: 2002-11-06T00:00:00Z
review text: This paper seeks to obtain solution curves of arc fields and to study the continuous dependence of solutions on initial conditions. The authors present some examples, one of which shows that it is not sufficient to merely assume that the arc field is Lipschitz in order to obtain solution curves. They show that the flow of a certain arc field yields a continuous analog of an iterated function system, where the fixed point of the flow is the convex hull of the fractal fixed point of the discrete version of the system.
Mathematics Subject Classification ID: 37C10
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 58C07
zbMATH DE Number: 1523559
zbMATH Keywords: solution curves of arc fields
zbMATH Keywords: continuous dependence of solutions on initial conditions
zbMATH Keywords: iterated function system
zbMATH Keywords: fractal fixed point
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: jmaa.2000.6948
OpenAlex ID: W1982003837
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DOI: 10.1006/JMAA.2000.6948
description: scientific article; zbMATH DE number 1523559