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Application of the Fourier method to the study of a hyperbolic integro-differential equation in a rectangular domain

J. Sh. SafarovTashkent University of Information Technologies, Amir Timur str., 108, Tashkent 100202, UzbekistanАскар Ахмадович РахмоновV.I.Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, 9, University str., Tashkent 100174, UzbekistanMaftunakhon SafarovaTashkent University of Information Technologies, Amir Timur str., 108, Tashkent 100202, Uzbekistan

AIP conference proceedingsjournal2024en

Ochiq kirish: yoʻq

ABI

Annotatsiya

In the paper we investigate the solvability of the initial-boundary value problem for a nonhomogeneous integro-differential wave equation in a rectangular domain, when the integral kernel of the integral term is a known function. First, the uniqueness of the solution of the direct problem is established using the completeness property of the system of eigenfunctions of the corresponding homogeneous Dirichlet problem for the Laplace operator, further the existence of a solution to the direct problem is proved.

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Mavzular

Differential Equations and Boundary Problems Stability and Controllability of Differential Equations Differential Equations and Numerical Methods

Identifikatorlar

DOI: 10.1063/5.0201252

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