ON A PROBLEM FOR A THREE-DIMENSIONAL ELLIPTIC EQUATIONWITH BESSEL OPERATORS
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.
Authors
- K. T. Karimov (ORCID: https://orcid.org/0000-0002-9098-4116)
Institutions
- Kurgan State University (RU)
Publication Details
- Journal
- Челябинский физико-математический журнал
- Published
- 2024-09-13
- DOI
- https://doi.org/10.47475/2500-0101-2024-9-3-375-388
- Primary Topic
- Differential Equations and Boundary Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00