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Existence of integrating factors for higher-order ordinary differential equations
Responsible organisation
2007 (English)In: Archives of ALGA, ISSN 1652-4934, Vol. 4, 61-70 p.Article in journal (Refereed) Published
Abstract [en]

We investigate the concept of integrating factors for higher-order ordinary differential equations introduced recently by one of the authors (NHI). The integrating factors for equations of order higher than one are determined by overdetermined systems. Therefore one can expect that not all higher-order equations have integrating factors. We prove in this paper that in fact they have. Moreover, we demonstrate that every equation of order n has precisely n functionally independent integrating factors.

Place, publisher, year, edition, pages
Karlskrona, Sweden: ALGA publications, BTH , 2007. Vol. 4, 61-70 p.
Keyword [en]
Integrating factors, ordinary differential equations
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:bth-8834Local ID: oai:bth.se:forskinfo14C2D3BE9F6005CBC12573BF003EDF0COAI: oai:DiVA.org:bth-8834DiVA: diva2:836589
Note
Online: http://www.bth.se/ihn/alga.nsf/attachments/Archives%204_1_pdf/$file/Archives%204 _1.pdfAvailable from: 2012-09-18 Created: 2007-12-28 Last updated: 2015-06-30Bibliographically approved

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
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  • Other locale
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Output format
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