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arxiv: 0811.0144 · v5 · pith:342V4QI5new · submitted 2008-11-02 · 🧮 math.RA · math.CA· math.OA· math.OC

Differential transcendency in the theory of linear differential systems with constant coefficients

classification 🧮 math.RA math.CAmath.OAmath.OC
keywords differentiallinearcoefficientsconstantsystemsystemstranscendencyapplied
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In this paper we consider a reduction of a non-homogeneous linear system of first order operator equations to a totally reduced system. Obtained results are applied to Cauchy problem for linear differential systems with constant coefficients and to the question of differential transcendency.

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