Geodesic
Hilbert boundary-value problem for a~class of singular matrix-functions
Matematičeskie zametki, Tome 15 (1974) no. 4, pp. 587-594.

Voir la notice de l'article provenant de la source Math-Net.Ru

We present a statement and a solution of a Hilbert boundary-value problem for $n\times n$ matrix-functions, the singularity of which is characterized by a given integral $n\times n$ matrix. For the homogeneous problem we find solvability conditions and the number of linearly independent solutions; for the nonhomogeneous problem we find conditions of solvability and the number of these solutions. We make essential use of the standard left factorization of the coefficient of the problem. 
@article{MZM_1974_15_4_a9,
     author = {A. L. Lukov},
     title = {Hilbert boundary-value problem for a~class of singular matrix-functions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {587--594},
     publisher = {mathdoc},
     volume = {15},
     number = {4},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1974_15_4_a9/}
}
TY  - JOUR
AU  - A. L. Lukov
TI  - Hilbert boundary-value problem for a~class of singular matrix-functions
JO  - Matematičeskie zametki
PY  - 1974
SP  - 587
EP  - 594
VL  - 15
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1974_15_4_a9/
LA  - ru
ID  - MZM_1974_15_4_a9
ER  - 
%0 Journal Article
%A A. L. Lukov
%T Hilbert boundary-value problem for a~class of singular matrix-functions
%J Matematičeskie zametki
%D 1974
%P 587-594
%V 15
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1974_15_4_a9/
%G ru
%F MZM_1974_15_4_a9
A. L. Lukov. Hilbert boundary-value problem for a~class of singular matrix-functions. Matematičeskie zametki, Tome 15 (1974) no. 4, pp. 587-594. http://geodesic.mathdoc.fr/item/MZM_1974_15_4_a9/