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

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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. 
@article{IVM_2020_10_a5,
     author = {S. N. Kiyasov},
     title = {Closed-form solvability of a linear conjugation problem for three-dimensional piecewise analytic vector},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {65--72},
     publisher = {mathdoc},
     number = {10},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2020_10_a5/}
}
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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/