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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 4, Pages 54–71 (Mi ivm7290)  
This article is cited in 2 scientific papers (total in 2 papers)

Some cases of the solvability in a closed form of singular integral equations and two-dimensional characteristic systems

S. N. Kiyasov

Chair of Differential Equations, Kazan State University, Kazan, Russia
Full-text PDF (251 kB) Citations (2)
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Abstract: We consider the characteristic system of singular integral equations for two unknown functions. We obtain certain relations connecting coefficients of the system which allow one to solve the latter in a closed form. Based on the obtained results, we consider cases of the solvability in a closed form for one class of singular integral equations.
Keywords: matrix-function, factorization, singular integral equation, linear boundary value problem.
Received: 23.09.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 4, Pages 44–59
DOI: https://doi.org/10.3103/S1066369X11040062
Bibliographic databases:
Document Type: Article
UDC: 517.544
Language: Russian
Citation: S. N. Kiyasov, “Some cases of the solvability in a closed form of singular integral equations and two-dimensional characteristic systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 4, 54–71; Russian Math. (Iz. VUZ), 55:4 (2011), 44–59
Citation in format AMSBIB
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\by S.~N.~Kiyasov
\paper Some cases of the solvability in a~closed form of singular integral equations and two-dimensional characteristic systems
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 4
\pages 54--71
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2919796}
\elib{https://elibrary.ru/item.asp?id=15566441}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 4
\pages 44--59
\crossref{https://doi.org/10.3103/S1066369X11040062}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79958708807}
Linking options:
  • https://www.mathnet.ru/eng/ivm7290
  • https://www.mathnet.ru/eng/ivm/y2011/i4/p54
    • This publication is cited in the following 2 articles:
    1. S. Rogosin, G. Mishuris, “Constructive methods for factorization of matrix-functions”, IMA J. Appl. Math., 81:2 (2016), 365–391  crossref  mathscinet  zmath  isi  elib
    2. S. N. Kiyasov, “Some cases of efficient factorization of second-order matrix functions”, Russian Math. (Iz. VUZ), 56:6 (2012), 30–36  mathnet  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Abstract page:348
    Full-text PDF :88
    References:64
    First page:4
     
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