Matrix Bernoulli equations. II

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 2008 English Publisher:Allerton PressJournal:Russian Mathematics, volume 52, pages 1-7 (issn: 1066-369X, eissn: 1934-810X,

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Authors: V. P. Derevenskii;

doi: 10.3103/s1066369x08070013 , 10.3103/s1066369x08020035

Matrix Bernoulli equations. II

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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 M2 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 M2. We adduce an example of the third degree J. Bernoulli's equation over a commutative algebra. DOI: 10.3103/S1066369X08070013

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Tomsk State University of Architecture and Building
Russian Federation

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