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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, Number 10, Pages 65–72
DOI: https://doi.org/10.26907/0021-3446-2020-10-65-72 (Mi ivm9619) 		 
Closed-form solvability of a linear conjugation problem for three-dimensional piecewise analytic vector

S. N. Kiyasov

Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
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DOI: https://doi.org/10.26907/0021-3446-2020-10-65-72
Abstract: 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.
Received: 20.12.2019
Revised: 20.12.2019
Accepted: 25.03.2020
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, Volume 64, Issue 10, Pages 59–65
DOI: https://doi.org/10.3103/S1066369X20100060
Bibliographic databases:
Document Type: Article
UDC: 517.544
Language: Russian
Citation: S. N. Kiyasov, “Closed-form solvability of a linear conjugation problem for three-dimensional piecewise analytic vector”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 10, 65–72; Russian Math. (Iz. VUZ), 64:10 (2020), 59–65
Citation in format AMSBIB
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\pages 65--72
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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