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Existence of integr...
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Ibragimov, Nail H.
(author)
Existence of integrating factors for higher-order ordinary differential equations
- Article/chapterEnglish2007
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Karlskrona, Sweden :ALGA publications, BTH,2007
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LIBRIS-ID:oai:DiVA.org:bth-8834
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https://urn.kb.se/resolve?urn=urn:nbn:se:bth-8834URI
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Language:English
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Summary in:English
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Subject category:ref swepub-contenttype
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Subject category:art swepub-publicationtype
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Online: http://www.bth.se/ihn/alga.nsf/attachments/Archives%204_1_pdf/$file/Archives%204 _1.pdf
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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.
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In:Archives of ALGAKarlskrona, Sweden : ALGA publications, BTH4, s. 61-701652-4934
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