Geodesic
A method of separation of classes of linear conjugation problems for three-dimensional vector
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2015), pp. 33-50.

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

We consider the structure of a set of piecewise-meromorphic solutions to linear conjugation problem for three-dimensional vector and its connection with solutions to a system of two problems of fractional-linear conjugation. It is shown that if there exist two piecewise-meromorphic solutions to a system of two fractional-linear conjugation problems, then a canonical system of solutions to linear conjugation problem can be constructed and a class of problems that are resolvable in closed forms can be selected.
Keywords: matrix-function, linear conjugation problem, fractional-linear conjugation problem. 
@article{IVM_2015_8_a3,
     author = {S. N. Kiyasov},
     title = {A method of separation of classes of linear conjugation problems for three-dimensional vector},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {33--50},
     publisher = {mathdoc},
     number = {8},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2015_8_a3/}
}
TY  - JOUR
AU  - S. N. Kiyasov
TI  - A method of separation of classes of linear conjugation problems for three-dimensional vector
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2015
SP  - 33
EP  - 50
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2015_8_a3/
LA  - ru
ID  - IVM_2015_8_a3
ER  - 
%0 Journal Article
%A S. N. Kiyasov
%T A method of separation of classes of linear conjugation problems for three-dimensional vector
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2015
%P 33-50
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2015_8_a3/
%G ru
%F IVM_2015_8_a3
S. N. Kiyasov. A method of separation of classes of linear conjugation problems for three-dimensional vector. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2015), pp. 33-50. http://geodesic.mathdoc.fr/item/IVM_2015_8_a3/

[1] Vekua N. P., Sistemy singulyarnykh integralnykh uravnenii i nekotorye granichnye zadachi, Nauka, M., 1970 | MR

[2] Litvinchuk G. S., Spitkovskii I. M., Faktorizatsiya matrits-funktsii. I, II, No 2410-84, VINITI

[3] Adukov V. M., “Faktorizatsiya Vinera–Khopfa meromorfnykh matrits-funktsii”, Algebra i analiz, 4:1 (1992), 54–74 | MR | Zbl

[4] Kiyasov S. N., “Effektivnaya faktorizatsiya v nekotorykh klassakh matrits-funktsii tretego poryadka”, Uchen. zap. Kazansk. gos. un-ta, 150, no. 1, 2008, 65–70 | Zbl

[5] Gakhov F. D., “Kraevaya zadacha Rimana dlya sistemy $n$ par funktsii”, UMN, 7:4 (1952), 3–54 | MR | Zbl

[6] Gakhov F. D., “Osobye sluchai kraevoi zadachi Rimana dlya sistemy $n$ par funktsii”, Izv. AN SSSR, Ser. matem., 16:2 (1952), 147–156 | MR | Zbl

[7] Gakhov F. D., Kraevye zadachi, Nauka, M., 1977 | MR

[8] Kiyasov S. N., “Nekotorye klassy zadach lineinogo sopryazheniya dlya dvumernogo vektora, razreshimye v zamknutoi forme”, Izv. vuzov. Matem., 2013, no. 1, 3–20 | MR | Zbl

[9] Kiyasov S. N., “Nekotorye sluchai effektivnoi faktorizatsii matrits-funktsii vtorogo poryadka”, Izv. vuzov. Matem., 2012, no. 6, 36–43 | MR | Zbl