Geodesic
Ordinary differential equation system of non-canonical shape. II
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (1989), pp. 10-14 
S. K. Afyan. Ordinary differential equation system of non-canonical shape. II. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (1989), pp. 10-14. http://geodesic.mathdoc.fr/item/UZERU_1989_3_a1/
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     author = {S. K. Afyan},
     title = {Ordinary differential equation system of non-canonical shape. {II}},
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}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The equation $Ay^{\prime}+By=f(t)$, where $A$ and $B$ are square matrices has been considered. The solution has been sought in such a class of vector functions, the components of which with their derivatives increase in infinition not faster than any degree of $t$. The case $\det A=0$ has been considered. The sufficient and necessary conditions of the solution-existence for initial and general initial problems have been obtained.

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