Geodesic
On solvability of the initial problem for linear regular non-homogeneous differential systems
Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 4, pp. 1235-1238.

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The solvability criterion of the initial problem for linear regular non-homogeneous differential systems is proved. Analytic representations for the solutions of this problem are obtained. 
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V. I. Bulatov. On solvability of the initial problem for linear regular non-homogeneous differential systems. Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 4, pp. 1235-1238. http://geodesic.mathdoc.fr/item/FPM_2002_8_4_a19/

[1] Bulatov V. I., “Ob odnom kriterii suschestvovaniya reshenii lineinykh regulyarnykh sistem upravleniya”, Trudy IM NAN Belarusi, 10, 2001, 33–35