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

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.

UDC: 517.9

Received: 19.06.2007

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2009, 53:10, 18–27

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