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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2013, Volume 10, Pages 271–284 (Mi semr412)  
This article is cited in 2 scientific papers (total in 2 papers)

Differentical equations, dynamical systems and optimal control

Darboux integrability of planar polynomial systems

E. P. Volokitinab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
Full-text PDF (293 kB) Citations (2)
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Abstract: We prove that a polynomial system with Cauchy–Riemann conditions has Darboux integral which may be derived without quadratures. We give classes of such systems which have the rational first integral.
Keywords: Darboux integrability, the first integrals, the rational first integrals.
Received December 15, 2012, published April 2, 2013
Document Type: Article
UDC: 517.925
MSC: 34C05
Language: Russian
Citation: E. P. Volokitin, “Darboux integrability of planar polynomial systems”, Sib. Èlektron. Mat. Izv., 10 (2013), 271–284
Citation in format AMSBIB
\Bibitem{Vol13}
\by E.~P.~Volokitin
\paper Darboux integrability of planar polynomial systems
\jour Sib. \`Elektron. Mat. Izv.
\yr 2013
\vol 10
\pages 271--284
\mathnet{http://mi.mathnet.ru/semr412}
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  • https://www.mathnet.ru/eng/semr/v10/p271
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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