Matrix Bernoulli equations. II
В. П. Деревенский · Russian Mathematics · 2008
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.