Geodesic
Ordinary differential equation system of non-canonical shape. I
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (1989), pp. 10-15 Cet article a éte moissonné depuis la source Math-Net.Ru

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Equation $Аy^{\prime}+By=f(x)$, is considered, where $A$ and $B$ are square matrices. The solution is sought in such a class of vector functions, whose components with their derivatives in infinition increase not faster than any degree of $t$. Many authors have considered the case $\det A\neq 0$ [1–4]. In this paper the same case is considered but by means of a method, which allows to get easily controllable conditions for the solution of initial and general initial problems. 
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S. K. Afyan. Ordinary differential equation system of non-canonical shape. I. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (1989), pp. 10-15. http://geodesic.mathdoc.fr/item/UZERU_1989_2_a1/

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[4] A. L. Pavlov, “Ob obschikh kraevykh zadachakh dlya differentsialnykh uravnenii s postoyannymi koeffitsientami v poluprostranstve”, Matem. sb., 103(145) (1977), 367–391 | MR | Zbl

[5] L. Khormander, Analiz lineinykh differentsialnykh operatorov s chastnymi proizvodnymi, v. 3, Mir, M., 1987