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Sibirskii Zhurnal Industrial'noi Matematiki, 2011, Volume 14, Number 2, Pages 112–123 (Mi sjim673)  
This article is cited in 3 scientific papers (total in 3 papers)

Systems of linear differential equations with non-$x$-autonomous basic Lie algebra

Yu. A. Chirkunovab

a Novosibirsk State Technical University, Novosibirsk, RUSSIA
b Institute of Computational Technologies SB RAS, Novosibirsk, RUSSIA
Full-text PDF (264 kB) Citations (3)
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Abstract: We obtain some necessary and sufficient conditions for the non-$x$-autonomy of the basic Lie algebra of a system of first-order linear differential equations with constant coefficients over the field of complex numbers. Using these results, we establish the $x$-autonomy of the basic Lie algebra of some systems of equations of mathematical physics.
Keywords: $x$-autonomy of the basic Lie algebra, canonical systems of linear differential equations, criteria of $x$-autonomy.
Received: 23.07.2009
English version:
Journal of Applied and Industrial Mathematics, 2012, Volume 6, Issue 1, Pages 31–41
DOI: https://doi.org/10.1134/S199047891201005X
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: Yu. A. Chirkunov, “Systems of linear differential equations with non-$x$-autonomous basic Lie algebra”, Sib. Zh. Ind. Mat., 14:2 (2011), 112–123; J. Appl. Industr. Math., 6:1 (2012), 31–41
Citation in format AMSBIB
\Bibitem{Chi11}
\by Yu.~A.~Chirkunov
\paper Systems of linear differential equations with non-$x$-autonomous basic Lie algebra
\jour Sib. Zh. Ind. Mat.
\yr 2011
\vol 14
\issue 2
\pages 112--123
\mathnet{http://mi.mathnet.ru/sjim673}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2962161}
\transl
\jour J. Appl. Industr. Math.
\yr 2012
\vol 6
\issue 1
\pages 31--41
\crossref{https://doi.org/10.1134/S199047891201005X}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
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