References
I. D. Ado, “Representation of Lie Algebras by Matrices,” Usp. Mat. Nauk 11(6), 159–173 (1947).
F. R. Gantmakher, Theory of Matrices (Nauka, Moscow, 1967) [in Russian].
V. P. Derevenskii, “Exponential Solution of First-Order Linear Differential Matrix Equations,” Izv. Vyssh. Uchebn. Zaved. Mat., № 7, 31–33 (1981) [Soviet Mathematics (Iz. VUZ) 25 (7), 29–31 (1981)].
V. P. Derevenskii, “Solvability by Quadratures of Second Order Matrix Differential Equations,” Differents. uravneniya 27(5), 901–904 (1991).
N. Jacobson, Lie Algebras (Interscience, NY, 1962; Mir, Moscow, 1964).
J.-P. Serre, Lie Algebras and Lie Groups (Benjamin, 1965; Mir, Moscow, 1969).
V. P. Derevenskii, “Matrix Two-Sided Linear Differential Equations,” Matem. Zametki 55(1), 35–42 (1994).
L. P. Eisenhart, Continuous Groups of Transformations (Princeton Univ. Press, Princeton, 1933; GIIL, Moscow, 1947).
V. P. Derevenskii, “Third-Order Linear Differential Equations in the Adjoint Representation of Simple Lie Algebras,” Differents. Uravneniya 28(10), 1675–1683 (1992).
Author information
Authors and Affiliations
Additional information
Original Russian Text © V.P. Derevenskii, 2008, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, No. 2, pp. 14–23.
About this article
Cite this article
Derevenskii, V.P. Matrix Bernoulli equations. I. Russ Math. 52, 12–21 (2008). https://doi.org/10.3103/S1066369X08020035
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1066369X08020035