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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 10, Pages 23–32 (Mi ivm3074)  
A matrix Bernoulli equation in the adjoint matrix representation of simple three-dimensional Lie algebras

V. P. Derevenskii

Chair of Higher Mathematics, Kazan State Architecture and Building University, Kazan, Russia
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Abstract: In this paper we give sufficient conditions for solvability by quadratures of a matrix Bernoulli equation whose parameters are defined in the adjoint matrix representation of simple three-dimensional Lie algebras over a field of real numbers.
Keywords: differential equation, matrix equation, Lie algebra.
Received: 19.06.2007
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 10, Pages 18–27
DOI: https://doi.org/10.3103/S1066369X0910003X
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: V. P. Derevenskii, “A matrix Bernoulli equation in the adjoint matrix representation of simple three-dimensional Lie algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 10, 23–32; Russian Math. (Iz. VUZ), 53:10 (2009), 18–27
Citation in format AMSBIB
\Bibitem{Der09}
\by V.~P.~Derevenskii
\paper A matrix Bernoulli equation in the adjoint matrix representation of simple three-dimensional Lie algebras
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 10
\pages 23--32
\mathnet{http://mi.mathnet.ru/ivm3074}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2657220}
\zmath{https://zbmath.org/?q=an:05621781}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 10
\pages 18--27
\crossref{https://doi.org/10.3103/S1066369X0910003X}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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