Matrix Bernoulli equations. II |
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| Authors: | V P Derevenskii |
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| Institution: | (1) Kazan State Architecture and Building University, ul. Zelyonaya 1, Kazan, 420043, Russia |
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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 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. |
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| Keywords: | differential equation matrix equation Lie algebra |
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