This article is cited in 1 paper

Linear Ordinary Differential Equations with Constant Coefficients over a Banach Algebra

V. P. Derevenskii

Kazan State University of Architecture and Engineering

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.

UDC: 517.9

Received: 19.08.2005

DOI: 10.4213/mzm4079

 English version: Mathematical Notes, 2008, 84:3, 342–355

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