Linear Ordinary Differential Equations with Constant Coefficients over a Banach Algebra
Matematičeskie zametki, Tome 84 (2008) no. 3, pp. 365-380
Cet article a éte moissonné depuis la source Math-Net.Ru
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.
Keywords:
left-side linear ODE with constant coefficients, noncommutative Banach algebra, characteristic equation, Gauss operator
Mots-clés : Euler solution, Vandermonde matrix.
Mots-clés : Euler solution, Vandermonde matrix.
@article{MZM_2008_84_3_a3,
author = {V. P. Derevenskii},
title = {Linear {Ordinary} {Differential} {Equations} with {Constant} {Coefficients} over a {Banach} {Algebra}},
journal = {Matemati\v{c}eskie zametki},
pages = {365--380},
year = {2008},
volume = {84},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2008_84_3_a3/}
}
V. P. Derevenskii. Linear Ordinary Differential Equations with Constant Coefficients over a Banach Algebra. Matematičeskie zametki, Tome 84 (2008) no. 3, pp. 365-380. http://geodesic.mathdoc.fr/item/MZM_2008_84_3_a3/
[1] Funktsionalnyi analiz, Spravochnaya matematicheskaya biblioteka, ed. S. G. Krein, Nauka, M., 1972 | MR | Zbl
[2] V. P. Derevenskii, “Sistemy matrichnykh lineinykh differentsialnykh uravnenii pervogo poryadka”, Matem. zametki, 66:1 (1999), 63–75 | MR | Zbl
[3] V. P. Derevenskii, “Matrichnye lineinye differentsialnye uravneniya vysshikh poryadkov”, Differents. uravneniya, 29:4 (1993), 711–714 | Zbl
[4] V. I. Arnold, Obyknovennye differentsialnye uravneniya, M., 1971 | MR | Zbl
[5] N. Dzhekobson, Algebry Li, M., 1964 | MR | Zbl
[6] V. P. Derevenskii, “Reshenie sistem matrichnykh algebraicheskikh lineinykh uravnenii”, Izv. vuzov. Matem., 1998, no. 10, 32–36 | MR | Zbl