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Cauchy problem for a loaded hyperbolic equation with the Bessel operator

  • Umida Baltaeva EMAIL logo and Bobur Khasanov
Published/Copyright: October 15, 2024
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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.

MSC 2010: 35M10
  1. Communicated by Jozef Džurina

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Received: 2023-10-30
Accepted: 2024-04-16
Published Online: 2024-10-15
Published in Print: 2024-10-28

© 2024 Mathematical Institute Slovak Academy of Sciences

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