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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 3, Pages 28–35 (Mi ivm6709)  
This article is cited in 5 scientific papers (total in 5 papers)

A nonlocal problem for the Bitsadze–Lykov equation

O. A. Repina, S. K. Kumykovab

a Chair of Mathematical Statistics and Econometrics, Samara State Economic University, Samara, Russia
b Chair of Function Theory, Kabardino-Balkarian State University, Nalchik, Russia
Full-text PDF (179 kB) Citations (5)
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Abstract: We study a nonlocal boundary value problem for a degenerate hyperbolic equation. We prove that this problem is uniquely solvable if integral Volterra equations of the second kind are solvable with various values of parameters and a generalized fractional integro-differential operator with a hypergeometric Gaussian function in the kernel.
Keywords: boundary value problem, fractional integro-differential operator, integral Volterra equation.
Received: 22.11.2007
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 3, Pages 24–30
DOI: https://doi.org/10.3103/S1066369X10030059
Bibliographic databases:
UDC: 517.956
Language: Russian
Citation: O. A. Repin, S. K. Kumykova, “A nonlocal problem for the Bitsadze–Lykov equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 3, 28–35; Russian Math. (Iz. VUZ), 54:3 (2010), 24–30
Citation in format AMSBIB
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\by O.~A.~Repin, S.~K.~Kumykova
\paper A nonlocal problem for the Bitsadze--Lykov equation
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 3
\pages 28--35
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\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2778322}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 3
\pages 24--30
\crossref{https://doi.org/10.3103/S1066369X10030059}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649533261}
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    • This publication is cited in the following 5 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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