Maqola

Cauchy problem for a loaded hyperbolic equation with the Bessel operator

Umida BaltaevaDepartment of Exact sciences Khorezm Mamun Academy Uzbekistan Academy of Sciences Department of Applied Mathematics Urgench State University Institute of Mathematics Urgench UzbekistanBobur KhasanovDepartment of Exact Sciences Khorezm Mamun Academy Uzbekistan Academy of Sciences Khorezm Uzbekistan

Mathematica Slovacajournal2024en

ABI

Annotatsiya

Abstract This work is devoted to the study of the Cauchy problem for a loaded differential equation with the Bessel operator. When studying problems for loaded equations, the properties of Erdélyi-Kober operators are used as transformation operators concerning a relation. We obtain an explicit form of the solution to the Cauchy problem for a loaded one-dimensional differential equation. At the end of the work, we will show several examples on graphs.

Mavzular

Differential Equations and Boundary Problems Numerical methods in inverse problems advanced mathematical theories

Identifikatorlar

DOI: 10.1515/ms-2024-0090

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