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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2024, Volume 9, Issue 3, Pages 375–388
DOI: https://doi.org/10.47475/2500-0101-2024-9-3-375-388 (Mi chfmj390) 		 
Mathematics

On a problem for a three-dimensional elliptic equation with Bessel operators

K. T. Karimov

Fergana State University, Fergana, Uzbekistan
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DOI: https://doi.org/10.47475/2500-0101-2024-9-3-375-388
Abstract: The Keldysh problem for a three-dimensional elliptic equation with three singular coefficients in a rectangular parallelepiped is studied. Based on the property of completeness 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, elliptic equation, spectral method, singular coefficient, Bessel function.
Received: 04.05.2024
Revised: 22.08.2024
Document Type: Article
UDC: 517.956.226
Language: Russian
Citation: K. T. Karimov, “On a problem for a three-dimensional elliptic equation with Bessel operators”, Chelyab. Fiz.-Mat. Zh., 9:3 (2024), 375–388
Citation in format AMSBIB
\Bibitem{Kar24}
\by K.~T.~Karimov
\paper On a problem for a three-dimensional elliptic equation with Bessel operators
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2024
\vol 9
\issue 3
\pages 375--388
\mathnet{http://mi.mathnet.ru/chfmj390}
\crossref{https://doi.org/10.47475/2500-0101-2024-9-3-375-388}
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