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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 6, Pages 3–12 (Mi ivm8800)  
This article is cited in 4 scientific papers (total in 4 papers)

On a weighted boundary value problem in an infinite half-strip for a biaxisymmetric Helmholtz equation

A. A. Abashkin

Chair of Higher Mathematics, Samara State University of Architecture and Civil Engineering, Samara, Russia
Full-text PDF (188 kB) Citations (4)
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Abstract: We study a boundary value problem for a generalized biaxisymmetric Helmholtz equation. Boundary conditions in this problem depend on equation parameters. By the variable separation method, using the Fourier–Bessel series expansion and the Hankel transform, we prove the unique solvability of the problem and establish explicit formulas for the solution.
Keywords: Helmholz equation, Fourier–Bessel series, Hankel transformation, Bessel functions.
Received: 28.03.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 6, Pages 1–9
DOI: https://doi.org/10.3103/S1066369X13060017
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: A. A. Abashkin, “On a weighted boundary value problem in an infinite half-strip for a biaxisymmetric Helmholtz equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 6, 3–12; Russian Math. (Iz. VUZ), 57:6 (2013), 1–9
Citation in format AMSBIB
\Bibitem{Aba13}
\by A.~A.~Abashkin
\paper On a~weighted boundary value problem in an infinite half-strip for a~biaxisymmetric Helmholtz equation
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 6
\pages 3--12
\mathnet{http://mi.mathnet.ru/ivm8800}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 6
\pages 1--9
\crossref{https://doi.org/10.3103/S1066369X13060017}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84878786747}
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    • This publication is cited in the following 4 articles:
    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 :66
    References:55
    First page:11
     
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