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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 2, Pages 70–75 (Mi ivm8975)  
This article is cited in 1 scientific paper (total in 1 paper)

A problem on a jump on a contour with limit continuum

B. A. Katsa, S. R. Mironovab, A. Yu. Pogodinac

a Chair of Mathematical Analysis, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
b Chair of Theoretical and Applied Mechanics and Mathematics, Kazan National Research Technical University, 10 K. Marksa str., Kazan, 420111 Russia
c Chair of Mathematical Economics, Saratov State University, 83 Astrakhanskaya str., Saratov, 410012 Russia
Full-text PDF (181 kB) Citations (1)
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Abstract: We obtain a condition of resolvablity of boundary-value problem on restoring holomorphic function by a given jump on a contour with limit continuum. An example of such contour is a graph of the function $y=\sin\frac\pi x$, $0<x\le1$, whose limit continuum is a segment $[-i,i]$ of imaginary axis.
Keywords: contour with limit continuum, analytic function, the jump boundary value problem.
Received: 01.10.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, Volume 59, Issue 2, Pages 57–61
DOI: https://doi.org/10.3103/S1066369X15020085
Bibliographic databases:
Document Type: Article
UDC: 517.544
Language: Russian
Citation: B. A. Kats, S. R. Mironova, A. Yu. Pogodina, “A problem on a jump on a contour with limit continuum”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 2, 70–75; Russian Math. (Iz. VUZ), 59:2 (2015), 57–61
Citation in format AMSBIB
\Bibitem{KatMirPog15}
\by B.~A.~Kats, S.~R.~Mironova, A.~Yu.~Pogodina
\paper A problem on a~jump on a~contour with limit continuum
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2015
\issue 2
\pages 70--75
\mathnet{http://mi.mathnet.ru/ivm8975}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2015
\vol 59
\issue 2
\pages 57--61
\crossref{https://doi.org/10.3103/S1066369X15020085}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84921879492}
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  • https://www.mathnet.ru/eng/ivm8975
  • https://www.mathnet.ru/eng/ivm/y2015/i2/p70
    • This publication is cited in the following 1 articles:
    1. B. A. Kats, S. R. Mironova, A. Yu. Pogodina, “Jump boundary-value problem on a contour with elongate singularities”, Russian Math. (Iz. VUZ), 61:1 (2017), 10–13  mathnet  crossref  isi
    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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    Full-text PDF :85
    References:73
    First page:11
     
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