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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 3, Pages 36–47 (Mi ivm6710)  
This article is cited in 4 scientific papers (total in 4 papers)

The Hilbert boundary-value problem with a finite index and a countable set of jump discontinuities in coefficients

R. B. Salimov, P. L. Shabalin

Chair of Higher Mathematics, Kazan State Architecture and Building University, Kazan, Russia
Full-text PDF (218 kB) Citations (4)
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Abstract: We consider the Hilbert boundary-value problem with a finite index for the case, when the coefficients in the boundary condition have two infinite sequences of discontinuity points of the first kind. We obtain a formula for the general solution and study the solvability issues.
Keywords: Hilbert boundary-value problem, finite index, Schwarz problem.
Received: 25.12.2007
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 3, Pages 31–41
DOI: https://doi.org/10.3103/S1066369X10030060
Bibliographic databases:
UDC: 517.54
Language: Russian
Citation: R. B. Salimov, P. L. Shabalin, “The Hilbert boundary-value problem with a finite index and a countable set of jump discontinuities in coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 3, 36–47; Russian Math. (Iz. VUZ), 54:3 (2010), 31–41
Citation in format AMSBIB
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\by R.~B.~Salimov, P.~L.~Shabalin
\paper The Hilbert boundary-value problem with a~finite index and a~countable set of jump discontinuities in coefficients
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 3
\pages 36--47
\mathnet{http://mi.mathnet.ru/ivm6710}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2778323}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 3
\pages 31--41
\crossref{https://doi.org/10.3103/S1066369X10030060}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649596248}
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    • This publication is cited in the following 4 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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