Geodesic
Closed-form solvability of a linear conjugation problem for three-dimensional piecewise analytic vector
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2020), pp. 65-72 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider the three-dimensional Riemann problem, which has two particular solutions with the relations of the limiting values of one of their components coinciding on the conjugation contour. It is shown that under certain restrictions on the elements of the matrix coefficient of the problem, its general solution can be obtained in a closed form.
Keywords: matrix-function, linear conjugation problem, factorization. 
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     author = {S. N. Kiyasov},
     title = {Closed-form solvability of a linear conjugation problem for three-dimensional piecewise analytic vector},
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}
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S. N. Kiyasov. Closed-form solvability of a linear conjugation problem for three-dimensional piecewise analytic vector. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2020), pp. 65-72. http://geodesic.mathdoc.fr/item/IVM_2020_10_a5/

[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. Ch. I; II, Dep. v VINITI 17.04.84, No 2410-84, AN USSR, Odessk. otd. in-ta ekonomiki, Odessa, 1984

[3] Kiyasov S. N., “Ob odnom dopolnenii k obschei teorii zadachi lineinogo sopryazheniya dlya kusochno analiticheskogo vektora”, Sib. matem. zhurn., 59:2 (2018), 369–377 | MR | Zbl

[4] Camara M. C., Rodman L., Spitkovsky I. M., “One sided invertibility of matrices over commutative rings, corona problems, and Toeplitz operators with matrix symbols”, Linear Algebra Appl., 459 (2014), 58–82 | DOI | MR | Zbl

[5] Kiyasov S. N., “Nekotorye klassy zadach lineinogo sopryazheniya dlya trekhmernogo vektora, razreshimykh v zamknutoi forme”, Sib. matem. zhurn., 56:2 (2015), 389–408 | MR | Zbl

[6] Kiyasov S. N., “K voprosu razreshimosti v zamknutoi forme nekotorykh zadach lineinogo sopryazheniya dlya trekhmernogo kusochno-analiticheskogo vektora”, Izv. vuzov. Matem., 2020, no. 2, 22–28 | Zbl

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