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Existence of integrating factors for higher-order ordinary differential equations
Ansvarig organisation
2007 (Engelska)Ingår i: Archives of ALGA, ISSN 1652-4934, Vol. 4, s. 61-70Artikel i tidskrift (Refereegranskat) 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.

Ort, förlag, år, upplaga, sidor
Karlskrona, Sweden: ALGA publications, BTH , 2007. Vol. 4, s. 61-70
Nyckelord [en]
Integrating factors, ordinary differential equations
Nationell ämneskategori
Matematisk analys
Identifikatorer
URN: urn:nbn:se:bth-8834Lokalt ID: oai:bth.se:forskinfo14C2D3BE9F6005CBC12573BF003EDF0COAI: oai:DiVA.org:bth-8834DiVA, id: diva2:836589
Anmärkning
Online: http://www.bth.se/ihn/alga.nsf/attachments/Archives%204_1_pdf/$file/Archives%204 _1.pdfTillgänglig från: 2012-09-18 Skapad: 2007-12-28 Senast uppdaterad: 2015-06-30Bibliografiskt granskad

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