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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2021, Volume 34, Number 1, Pages 29–46
DOI: https://doi.org/10.26117/2079-6641-2021-34-1-29-46 (Mi vkam453) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

The keldysh problem for a mixed-type three-dimensional equation with three singular coefficients

K. T. Karimov

Fergana State University
Full-text PDF (315 kB) Citations (1)
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DOI: https://doi.org/10.26117/2079-6641-2021-34-1-29-46
Abstract: In this article, we study the Keldysh problem for a three-dimensional mixed-type equation with three singular coefficients in a rectangular parallelepiped. Based on the completeness property of systems of eigenfunctions of two one-dimensional spectral problems, a uniqueness theorem is proved. The solution to the problem posed is constructed as the sum of a double Fourier-Bessel series.
Keywords: Keldysh problem, mixed type equation, spectral method, singular coefficient, Bessel function.
Document Type: Article
UDC: 517.956.6
MSC: 35M12
Language: Russian
Citation: K. T. Karimov, “The keldysh problem for a mixed-type three-dimensional equation with three singular coefficients”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 34:1 (2021), 29–46
Citation in format AMSBIB
\Bibitem{Kar21}
\by K.~T.~Karimov
\paper The keldysh problem for a mixed-type three-dimensional equation with three singular coefficients
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2021
\vol 34
\issue 1
\pages 29--46
\mathnet{http://mi.mathnet.ru/vkam453}
\crossref{https://doi.org/10.26117/2079-6641-2021-34-1-29-46}
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  • https://www.mathnet.ru/eng/vkam/v34/i1/p29
    • This publication is cited in the following 1 articles:
    1. K. T. Karimov, “Ob odnoi zadache dlya trekhmernogo ellipticheskogo uravneniya s operatorami Besselya”, Chelyab. fiz.-matem. zhurn., 9:3 (2024), 375–388  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Vestnik KRAUNC. Fiziko-Matematicheskie Nauki Vestnik KRAUNC. Fiziko-Matematicheskie Nauki
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    References:48
     
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