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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 7, Pages 3–10 (Mi ivm1622)  
This article is cited in 6 scientific papers (total in 6 papers)

Bernoulli matrix equations. II.

V. P. Derevenskii

Kazan State Architecture and Building University
Full-text PDF (170 kB) Citations (6)
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Abstract: In this paper, we find sufficient conditions for the solvability by quadratures of J. Bernoulli's equation defined over the set $M_2$ of square matrices of order 2. We consider the cases when such equations are stated in terms of bases of a two-dimensional abelian algebra and a three-dimensional solvable Lie algebra over $M_2$. We adduce an example of the third degree J. Bernoulli's equation over a commutative algebra.
Keywords: differential equation, matrix equation, Lie algebra.
Received: 03.05.2006
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2008, Volume 52, Issue 7, Pages 1–7
DOI: https://doi.org/10.3103/S1066369X08070013
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: V. P. Derevenskii, “Bernoulli matrix equations. II.”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 7, 3–10; Russian Math. (Iz. VUZ), 52:7 (2008), 1–7
Citation in format AMSBIB
\Bibitem{Der08}
\by V.~P.~Derevenskii
\paper Bernoulli matrix equations.~II.
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2008
\issue 7
\pages 3--10
\mathnet{http://mi.mathnet.ru/ivm1622}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2467440}
\zmath{https://zbmath.org/?q=an:05621361}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2008
\vol 52
\issue 7
\pages 1--7
\crossref{https://doi.org/10.3103/S1066369X08070013}
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  • https://www.mathnet.ru/eng/ivm/y2008/i7/p3
    Cycle of papers
    This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:41
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