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Matematicheskie Zametki, 2008, Volume 84, Issue 3, Pages 365–380
DOI: https://doi.org/10.4213/mzm4079 (Mi mzm4079) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Linear Ordinary Differential Equations with Constant Coefficients over a Banach Algebra

V. P. Derevenskii

Kazan State University of Architecture and Engineering
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DOI: https://doi.org/10.4213/mzm4079
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.
Keywords: left-side linear ODE with constant coefficients, Euler solution, noncommutative Banach algebra, characteristic equation, Gauss operator, Vandermonde matrix.
Received: 19.08.2005
English version:
Mathematical Notes, 2008, Volume 84, Issue 3, Pages 342–355
DOI: https://doi.org/10.1134/S0001434608090046
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: V. P. Derevenskii, “Linear Ordinary Differential Equations with Constant Coefficients over a Banach Algebra”, Mat. Zametki, 84:3 (2008), 365–380; Math. Notes, 84:3 (2008), 342–355
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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