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Fundamentalnaya i Prikladnaya Matematika, 2002, Volume 8, Issue 3, Pages 705–720 (Mi fpm669)  
This article is cited in 2 scientific papers (total in 2 papers)

Integrable cubic ODEs on free associative algebras

O. V. Efimovskaya

M. V. Lomonosov Moscow State University
Full-text PDF (560 kB) Citations (2)
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Abstract: ODEs with respect to two unknown functions belonging to the free associative algebra are considered. A complete classification of such equations possessing linear first integrals and at least one cubic infinitesimal symmetry is performed. Equations of arbitrary degree such that a trace of any polynomial is a first integral are investigated.
Received: 01.10.2001
Bibliographic databases:
UDC: 517.95+512.628.2
Language: Russian
Citation: O. V. Efimovskaya, “Integrable cubic ODEs on free associative algebras”, Fundam. Prikl. Mat., 8:3 (2002), 705–720
Citation in format AMSBIB
\Bibitem{Efi02}
\by O.~V.~Efimovskaya
\paper Integrable cubic ODEs on free associative algebras
\jour Fundam. Prikl. Mat.
\yr 2002
\vol 8
\issue 3
\pages 705--720
\mathnet{http://mi.mathnet.ru/fpm669}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1971871}
\zmath{https://zbmath.org/?q=an:1034.34046}
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  • https://www.mathnet.ru/eng/fpm/v8/i3/p705
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Фундаментальная и прикладная математика
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    Full-text PDF :113
    References:61
    First page:2
     
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