Work

Identification of the right hand side of equation of torsional vibrations of a rod

Year: 2024

Type: article

Abstract: We analyze the solvability of the inverse problem with an unknown coefficient for a fourth-order hyperbolic equation. To investigate the solvability of the inverse problem, the problem is considered in a rectangle area, with set conditions being typical of the boundary-value problem and an auxiliary condition being necessary of the unknown coefficient searching. Using the Fourier method, the problem is reduced to solving a system of integral equations, and using the compressed mapping method, the existence and uniqueness of a solution to the system of integral equations is proved. The existence and uniqueness of a classical solution to the original problem is shown.

Source: Gulf Journal of Mathematics

DOI: 10.56947/gjom.v18i1.2384

Authors: Aysel Ramazanova, Rauf Taghiyev, Yashar Mehraliyev

Institutions: University of Duisburg-Essen, Baku State University, Western Caspian University

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405172228

FWCI: 1.536

Cites:

Cited by: 2

Related to: 10