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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 1, Pages 3–20 (Mi ivm8763)  
This article is cited in 7 scientific papers (total in 7 papers)

Some classes of linear conjugation problems for a two-dimensional vector resolvable in a closed form

S. N. Kiyasov

Chair of Differential Equations, Kazan (Volga Region) Federal University, Kazan, Russia
Full-text PDF (259 kB) Citations (7)
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Abstract: We consider the structure of the set of piecewise-meromorphic solutions to the linear conjugation problem for a two-dimensional vector and study its connection with the fractional linear conjugation problem. We prove that if there exists a piecewise-meromorphic solution to any of these problems then one can construct a canonical system of solutions to the linear conjugation problem and define classes of problems solvable in a closed form.
Keywords: matrix function, linear conjugation problem, fractional linear conjugation problem.
Received: 08.12.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 1, Pages 1–16
DOI: https://doi.org/10.3103/S1066369X13010015
Bibliographic databases:
Document Type: Article
UDC: 517.544
Language: Russian
Citation: S. N. Kiyasov, “Some classes of linear conjugation problems for a two-dimensional vector resolvable in a closed form”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 1, 3–20; Russian Math. (Iz. VUZ), 57:1 (2013), 1–16
Citation in format AMSBIB
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\by S.~N.~Kiyasov
\paper Some classes of linear conjugation problems for a~two-dimensional vector resolvable in a~closed form
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 1
\pages 3--20
\mathnet{http://mi.mathnet.ru/ivm8763}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 1
\pages 1--16
\crossref{https://doi.org/10.3103/S1066369X13010015}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84872412178}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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