Existence of integrating factors for higher-order ordinary differential equations
Blekinge Institute of Technology, School of Engineering, Department of Mathematics and Natural Sciences2007 (English)In: Archives of ALGA, ISSN 1652-4934, Vol. 4, 61-70 p.Article in journal (Refereed) Published
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.
Integrating factors, ordinary differential equations
IdentifiersURN: urn:nbn:se:bth-8834Local ID: oai:bth.se:forskinfo14C2D3BE9F6005CBC12573BF003EDF0COAI: oai:DiVA.org:bth-8834DiVA: diva2:836589
Online: http://www.bth.se/ihn/alga.nsf/attachments/Archives%204_1_pdf/$file/Archives%204 _1.pdf2012-09-182007-12-282015-06-30Bibliographically approved