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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2012, Issue 1(26), Pages 39–45
DOI: https://doi.org/10.14498/vsgtu1023 (Mi vsgtu1023) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Differential Equations

On one problem in an infinity half-strip for biaxisimmetric Helmholtz equation

A. A. Abashkin

Samara State Academy of Architecture and Construction, Samara, Russia
Full-text PDF (490 kB) Citations (2)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu1023
Abstract: Boundary value problem in an infinity half-strip for biaxisymmetric Helmholtz equation is explored. Existence conditions of this problem are gotten with help of Fourier–Bessel series expansion. Uniqueness of solution of this boundary value problem is proved for some parameters values. Lack of uniqueness of solution is proved for some other parameters values.
Keywords: Helmholtz equation, boundary value problem, Fourier–Bessel series, Bessel functions, maximum principle.
Original article submitted 08/XII/2011
revision submitted – 27/II/2012
Bibliographic databases:
Document Type: Article
UDC: 517.956.223
MSC: Primary 35J05; Secondary 35J25, 35B30
Language: Russian
Citation: A. A. Abashkin, “On one problem in an infinity half-strip for biaxisimmetric Helmholtz equation”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(26) (2012), 39–45
Citation in format AMSBIB
\Bibitem{Aba12}
\by A.~A.~Abashkin
\paper On one problem in an infinity half-strip for~biaxisimmetric Helmholtz equation
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2012
\vol 1(26)
\pages 39--45
\mathnet{http://mi.mathnet.ru/vsgtu1023}
\crossref{https://doi.org/10.14498/vsgtu1023}
\elib{https://elibrary.ru/item.asp?id=17829730}
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  • https://www.mathnet.ru/eng/vsgtu/v126/p39
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    References:74
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