Abstract
In this paper, we determine the coefficients of left-side linear ordinary differential equations with constant coefficients over a noncommutative Banach algebra; these equations have solutions of Euler type.
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Functional Analysis, in Mathematical Reference Library, Ed. by S. G. Krein (Nauka, Moscow, 1972) [in Russian].
V. P. Derevenskii, “Systems of matrix linear differential equations of first order,” Mat. Zametki 66(1), 63–75 (1999) [Math. Notes 66 (1), 51–61 (1999)].
V. P. Derevenskii, “Higher-order matrix linear differential equations,” Differentsial’nye Uravneniya 29(4), 711–714 (1993) [Differential Equations 29 (4), 605–609 (1993)].
V. I. Arnol’d, Ordinary Differential Equations (Nauka, Moscow, 1971) [in Russian].
N. Jacobson, Lie Algebras (Interscience Publ., New York-London, 1962; Mir,Moscow, 1964).
V. P. Derevenskii, “Solution of systems of matrix algebraic linear equations,” Izv. Vyssh. Uchebn. Zaved. Mat., No. 10, 32–36 (1998) [Russian Math. (Iz. VUZ), No. 10, 30–34 (1998)].
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Original Russian Text © V. P. Derevenskii, 2008, published in Matematicheskie Zametki, 2008, Vol. 84, No. 3, pp. 365–380.
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Derevenskii, V.P. Linear ordinary differential equations with constant coefficients over a Banach algebra. Math Notes 84, 342–355 (2008). https://doi.org/10.1134/S0001434608090046
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DOI: https://doi.org/10.1134/S0001434608090046