Geodesic
A matrix Bernoulli equation in the adjoint matrix representation of simple three-dimensional Lie algebras
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2009), pp. 23-32

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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, Lie algebra.
Mots-clés : matrix equation 
@article{IVM_2009_10_a2,
     author = {V. P. Derevenskii},
     title = {A matrix {Bernoulli} equation in the adjoint matrix representation of simple three-dimensional {Lie} algebras},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {23--32},
     publisher = {mathdoc},
     number = {10},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_10_a2/}
}
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V. P. Derevenskii. A matrix Bernoulli equation in the adjoint matrix representation of simple three-dimensional Lie algebras. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2009), pp. 23-32. http://geodesic.mathdoc.fr/item/IVM_2009_10_a2/