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

Institutions

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
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

On Weighted Plane Waves Generated by the Poisson Operator and Associated with a Singular Differential Bessel Operator with a Negative Parameter

Е. Л. Санина, L. N. Lyakhov, S. A. Roshchupkin
Lobachevskii Journal of Mathematics
Differential Equations and Boundary Problems
article

On Weighted Plane Waves Generated by the Poisson Operator and Associated with a Singular Differential Bessel Operator with a Negative Parameter

Е. Л. Санина, L. N. Lyakhov, S. A. Roshchupkin
article en

Abstract

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.

Lobachevskii Journal of MathematicsVol. 45(11)
Yelets State University named after Ivan Bunin (RU), Lipetsk State Pedagogical University (RU), Voronezh State University (RU)
Openalex Percentile: Top 55%
Differential Equations and Boundary Problems
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.