Stable Attracting Sets in Delay Differential Equations and in Their Runge–Kutta Discretizations
| dc.contributor.author | Kloeden, Peter E. | |
| dc.contributor.author | Schropp, Johannes | |
| dc.date.accessioned | 2018-09-07T09:36:04Z | |
| dc.date.available | 2018-09-07T09:36:04Z | |
| dc.date.issued | 2008-09-11 | eng |
| dc.description.abstract | We show that for sufficiently small step sizes, a Runge–Kutta discretization of an autonomous delay differential equation with a uniformly asymptotically stable compact attracting set of arbitrary shape possesses an attracting set located close to that of the original system. | eng |
| dc.description.version | published | eng |
| dc.identifier.doi | 10.1080/01630560802279249 | eng |
| dc.identifier.uri | https://kops.uni-konstanz.de/handle/123456789/43198 | |
| dc.language.iso | eng | eng |
| dc.subject | Delay differential equations, Lyapunov functions, Runge–Kutta methods | eng |
| dc.subject.ddc | 510 | eng |
| dc.title | Stable Attracting Sets in Delay Differential Equations and in Their Runge–Kutta Discretizations | eng |
| dc.type | JOURNAL_ARTICLE | eng |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @article{Kloeden2008-09-11Stabl-43198,
year={2008},
doi={10.1080/01630560802279249},
title={Stable Attracting Sets in Delay Differential Equations and in Their Runge–Kutta Discretizations},
number={7-8},
volume={29},
issn={0163-0563},
journal={Numerical Functional Analysis and Optimization},
pages={791--801},
author={Kloeden, Peter E. and Schropp, Johannes}
} | |
| kops.citation.iso690 | KLOEDEN, Peter E., Johannes SCHROPP, 2008. Stable Attracting Sets in Delay Differential Equations and in Their Runge–Kutta Discretizations. In: Numerical Functional Analysis and Optimization. 2008, 29(7-8), pp. 791-801. ISSN 0163-0563. eISSN 1532-2467. Available under: doi: 10.1080/01630560802279249 | deu |
| kops.citation.iso690 | KLOEDEN, Peter E., Johannes SCHROPP, 2008. Stable Attracting Sets in Delay Differential Equations and in Their Runge–Kutta Discretizations. In: Numerical Functional Analysis and Optimization. 2008, 29(7-8), pp. 791-801. ISSN 0163-0563. eISSN 1532-2467. Available under: doi: 10.1080/01630560802279249 | eng |
| kops.citation.rdf | <rdf:RDF
xmlns:dcterms="http://purl.org/dc/terms/"
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:bibo="http://purl.org/ontology/bibo/"
xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
xmlns:foaf="http://xmlns.com/foaf/0.1/"
xmlns:void="http://rdfs.org/ns/void#"
xmlns:xsd="http://www.w3.org/2001/XMLSchema#" >
<rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/43198">
<dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2018-09-07T09:36:04Z</dc:date>
<dcterms:title>Stable Attracting Sets in Delay Differential Equations and in Their Runge–Kutta Discretizations</dcterms:title>
<dc:contributor>Schropp, Johannes</dc:contributor>
<foaf:homepage rdf:resource="http://localhost:8080/"/>
<dc:language>eng</dc:language>
<dc:creator>Kloeden, Peter E.</dc:creator>
<dcterms:issued>2008-09-11</dcterms:issued>
<dc:creator>Schropp, Johannes</dc:creator>
<dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2018-09-07T09:36:04Z</dcterms:available>
<bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/43198"/>
<dcterms:abstract xml:lang="eng">We show that for sufficiently small step sizes, a Runge–Kutta discretization of an autonomous delay differential equation with a uniformly asymptotically stable compact attracting set of arbitrary shape possesses an attracting set located close to that of the original system.</dcterms:abstract>
<dc:contributor>Kloeden, Peter E.</dc:contributor>
<dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
<dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
</rdf:Description>
</rdf:RDF> | |
| kops.flag.isPeerReviewed | unknown | eng |
| kops.flag.knbibliography | true | |
| kops.sourcefield | Numerical Functional Analysis and Optimization. 2008, <b>29</b>(7-8), pp. 791-801. ISSN 0163-0563. eISSN 1532-2467. Available under: doi: 10.1080/01630560802279249 | deu |
| kops.sourcefield.plain | Numerical Functional Analysis and Optimization. 2008, 29(7-8), pp. 791-801. ISSN 0163-0563. eISSN 1532-2467. Available under: doi: 10.1080/01630560802279249 | deu |
| kops.sourcefield.plain | Numerical Functional Analysis and Optimization. 2008, 29(7-8), pp. 791-801. ISSN 0163-0563. eISSN 1532-2467. Available under: doi: 10.1080/01630560802279249 | eng |
| relation.isAuthorOfPublication | 0e1876e3-4b19-40a6-84fb-892cc5c830a8 | |
| relation.isAuthorOfPublication.latestForDiscovery | 0e1876e3-4b19-40a6-84fb-892cc5c830a8 | |
| source.bibliographicInfo.fromPage | 791 | eng |
| source.bibliographicInfo.issue | 7-8 | eng |
| source.bibliographicInfo.toPage | 801 | eng |
| source.bibliographicInfo.volume | 29 | eng |
| source.identifier.eissn | 1532-2467 | eng |
| source.identifier.issn | 0163-0563 | eng |
| source.periodicalTitle | Numerical Functional Analysis and Optimization | eng |