Geodesic
Linear Ordinary Differential Equations with Constant Coefficients over a Banach Algebra
Matematičeskie zametki, Tome 84 (2008) no. 3, pp. 365-380

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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. 
@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},
     publisher = {mathdoc},
     volume = {84},
     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2008_84_3_a3/}
}
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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/