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.
Keywords:Linear system of first order operator equations with constant coefficients, n th order linear operator equation with constant coefficients, the characteristic polynomial, sum of principal minors, differential transcendency Email addresses : Branko Malešević , Dragana Todorić , Ivana Jovović , Sonja Telebaković