On Weighted Plane Waves Generated by the Poisson Operator and Associated with a Singular Differential Bessel Operator with a Negative Parameter
The problem considered in the article arose in the study of a general singular ultrahyperbolic equation, which in a particular case can be a classical ultrahyperbolic equation or a singular ultrahyperbolic equation. A form of connection between the areas of weighted spheres in Euclidean spaces of different dimensions is obtained. The resulting connection can be used in the study of modern problems in the theory of singular differential and integral equations.
Authors
- Е. Л. Санина
- L. N. Lyakhov
- S. A. Roshchupkin (ORCID: https://orcid.org/0000-0002-1672-4383)
Institutions
- Yelets State University named after Ivan Bunin (RU)
- Lipetsk State Pedagogical University (RU)
- Voronezh State University (RU)
Publication Details
- Journal
- Lobachevskii Journal of Mathematics
- Published
- 2024-11-01
- DOI
- https://doi.org/10.1134/s1995080224606477
- Primary Topic
- Differential Equations and Boundary Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00