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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2019, Volume 16, Pages 1260–1275
DOI: https://doi.org/10.33048/semi.2019.16.085 (Mi semr1128) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Differentical equations, dynamical systems and optimal control

An integrating factor of the Darboux differential systems

E. P. Volokitinab, V. M. Cheresiza

a Sobolev Institute of Mathematics 4, Acad. Koptyug ave., Novosibirck, 630090, Russia
b Novosibirsk State University, 2, Pirogova str., Novosibirck, 630090, Russia
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DOI: https://doi.org/10.33048/semi.2019.16.085
Abstract: We construct the integrating factor of the differential systems of the form $\dot x= x+P_n(x,y), \ \dot y=y+Q_n(x,y)$ where $P_n(x,y)$ and $Q_n(x,y)$ are homogeneous polynomials.
Keywords: polynomial systems, integrating factor, polynomial first integrals, rational first integrals, symmetries.
Funding agency Grant number
Siberian Branch of Russian Academy of Sciences I.1.2 (проект № 0314-2019-0007)
Russian Foundation for Basic Research 18-01-00057_а
Received July 2, 2019, published September 19, 2019
Bibliographic databases:
Document Type: Article
UDC: 517.925
MSC: 34С05
Language: Russian
Citation: E. P. Volokitin, V. M. Cheresiz, “An integrating factor of the Darboux differential systems”, Sib. Èlektron. Mat. Izv., 16 (2019), 1260–1275
Citation in format AMSBIB
\Bibitem{VolChe19}
\by E.~P.~Volokitin, V.~M.~Cheresiz
\paper An integrating factor of the Darboux differential systems
\jour Sib. \`Elektron. Mat. Izv.
\yr 2019
\vol 16
\pages 1260--1275
\mathnet{http://mi.mathnet.ru/semr1128}
\crossref{https://doi.org/10.33048/semi.2019.16.085}
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