Geodesic
On solvability of linear matrix boundary-value problem
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2018), pp. 86-97

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We find conditions of solvability and a construction of generalized Green's operator of linear matrix boundary-value problem; at that, we propose an operator which reduces a linear matrix equation to traditional linear Noetherian boundary-value problem. To solve a linear matrix system we use an operator which reduces a linear matrix equation to a linear algebraic equation with rectangular matrix.
Keywords: Green operator, Noetherian boundary-value problem, matrix differential equation. 
@article{IVM_2018_4_a7,
     author = {S. M. Chuiko},
     title = {On solvability of linear matrix boundary-value problem},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {86--97},
     publisher = {mathdoc},
     number = {4},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2018_4_a7/}
}
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S. M. Chuiko. On solvability of linear matrix boundary-value problem. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2018), pp. 86-97. http://geodesic.mathdoc.fr/item/IVM_2018_4_a7/