A semi-algorithm to find elementary first order invariants of rational second order ordinary differential equations

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dc.creatorAvellar, J.
dc.creatorDuarte, L. G. S.
dc.creatorDuarte, S. E. S.
dc.creatorda Mota, L. A. C. P.
dc.date2005-06-14
dc.date.accessioned2026-07-07T10:06:48Z
dc.date.available2026-07-07T10:06:48Z
dc.descriptionHere we present a method to find elementary first integrals of rational second order ordinary differential equations (SOODEs) based on a Darboux type procedure \cite{ManMac,firsTHEOps1,secondTHEOps1}. Apart from practical computational considerations, the method will be capable of telling us (up to a certain polynomial degree) if the SOODE has an elementary first integral and, in positive case, finds it via quadratures.
dc.identifierhttps://arxiv.org/abs/math-ph/0506037
dc.identifierhttp://arxiv.org/abs/math-ph/0506037
dc.identifierApplied Mathematics and Computation, v. 184, p. 2-11, 2007.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170449
dc.subjectMathematical Physics
dc.subjectClassical Analysis and ODEs
dc.subject34A34
dc.titleA semi-algorithm to find elementary first order invariants of rational second order ordinary differential equations
dc.typetext

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