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Existence of integrating factors for higher-order ordinary differential equations
Ansvarlig organisasjon
2007 (engelsk)Inngår i: Archives of ALGA, ISSN 1652-4934, Vol. 4, s. 61-70Artikkel i tidsskrift (Fagfellevurdert) 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.

sted, utgiver, år, opplag, sider
Karlskrona, Sweden: ALGA publications, BTH , 2007. Vol. 4, s. 61-70
Emneord [en]
Integrating factors, ordinary differential equations
HSV kategori
Identifikatorer
URN: urn:nbn:se:bth-8834Lokal ID: oai:bth.se:forskinfo14C2D3BE9F6005CBC12573BF003EDF0COAI: oai:DiVA.org:bth-8834DiVA, id: diva2:836589
Merknad
Online: http://www.bth.se/ihn/alga.nsf/attachments/Archives%204_1_pdf/$file/Archives%204 _1.pdfTilgjengelig fra: 2012-09-18 Laget: 2007-12-28 Sist oppdatert: 2015-06-30bibliografisk kontrollert

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