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
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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.
@article{UZERU_1989_3_a1,
author = {S. K. Afyan},
title = {Ordinary differential equation system of non-canonical shape. {II}},
journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
pages = {10--14},
publisher = {mathdoc},
number = {3},
year = {1989},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/UZERU_1989_3_a1/}
}
TY - JOUR AU - S. K. Afyan TI - Ordinary differential equation system of non-canonical shape. II JO - Proceedings of the Yerevan State University. Physical and mathematical sciences PY - 1989 SP - 10 EP - 14 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/UZERU_1989_3_a1/ LA - ru ID - UZERU_1989_3_a1 ER -
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/