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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 8, Pages 33–50
(Mi ivm9026)
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A method of separation of classes of linear conjugation problems for three-dimensional vector
S. N. Kiyasov Chair of Differential Equations, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
Abstract:
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.
Received: 02.02.2014
Citation:
S. N. Kiyasov, “A method of separation of classes of linear conjugation problems for three-dimensional vector”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 8, 33–50; Russian Math. (Iz. VUZ), 59:8 (2015), 25–40
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https://www.mathnet.ru/eng/ivm9026 https://www.mathnet.ru/eng/ivm/y2015/i8/p33
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Abstract page: | 251 | Full-text PDF : | 49 | References: | 47 | First page: | 4 |
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