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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2011, Issue 2(83), Pages 5–14 (Mi vsgu43)  

This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

One-valued solvability of a nonlocal problem for the axisymmetric Helmholtz equation

A. A. Abashkin

Dept. of Higher Mathematics, Samara State University of Architecture and Construction
Full-text PDF (548 kB) Citations (1)
(published under the terms of the Creative Commons Attribution 4.0 International License)
References:
Abstract: A nonlocal boundary value problem for degenerate elliptic equation is considered. Boundary value of this problem considerably depend on low derivative coefficient changes. Existence and uniqueness of a solution are proved.
Keywords: non-local problem, Bessel equation, Riesz basis, uniform convergence of series.
Received: 27.04.2010
Revised: 20.06.2011
Document Type: Article
UDC: 517.956
Language: Russian
Citation: A. A. Abashkin, “One-valued solvability of a nonlocal problem for the axisymmetric Helmholtz equation”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2011, no. 2(83), 5–14
Citation in format AMSBIB
\Bibitem{Aba11}
\by A.~A.~Abashkin
\paper One-valued solvability of a~nonlocal problem for the axisymmetric Helmholtz equation
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2011
\issue 2(83)
\pages 5--14
\mathnet{http://mi.mathnet.ru/vsgu43}
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  • https://www.mathnet.ru/eng/vsgu43
  • https://www.mathnet.ru/eng/vsgu/y2011/i2/p5
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Самарского государственного университета. Естественнонаучная серия
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    Abstract page:292
    Full-text PDF :114
    References:71
    First page:1
     
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