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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 6, Pages 23–33
DOI: https://doi.org/10.26907/0021-3446-2019-6-23-33 (Mi ivm9470) 		 
Some classes of linear conjugation problems for a four-dimensional vector that are solvable in closed form

S. N. Kiyasov

Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
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DOI: https://doi.org/10.26907/0021-3446-2019-6-23-33
Abstract: We consider the structure of the set of piecewise meromorphic solutions for a homogeneous linear conjugation problem for a four-dimensional vector. We show that in the presence of three piecewise meromorphic solutions to the linear conjugation problem it is possible to construct a canonical system of solutions to the linear conjugation problem and distinguish some classes of problems that are solvable in closed form.
Keywords: matrix-function, linear conjugation problem, factorization.
Received: 07.05.2018
Revised: 07.05.2018
Accepted: 20.06.2018
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 6, Pages 19–28
DOI: https://doi.org/10.3103/S1066369X19060033
Bibliographic databases:
Document Type: Article
UDC: 517.544
Language: Russian
Citation: S. N. Kiyasov, “Some classes of linear conjugation problems for a four-dimensional vector that are solvable in closed form”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 6, 23–33; Russian Math. (Iz. VUZ), 63:6 (2019), 19–28
Citation in format AMSBIB
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\paper Some classes of linear conjugation problems for a four-dimensional vector that are solvable in closed form
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\issue 6
\pages 23--33
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\jour Russian Math. (Iz. VUZ)
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\issue 6
\pages 19--28
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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