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Research Article | Open Access

On one coefficient inverse boundary value problem for a linear pseudoparabolic equation of the fourth order

Yashar Mehraliyev1, Seriye Allahverdiyeva2, Aysel Ramazanova3( )
Department of Differential and Integral Equations, Baku State University, Baku, Azerbaijan
Mingachevir State University, Dilara Aliyeva str.21, Mingachevir, Azerbaijan
Department of Mathematics, University Duisburg-Essen, Essen, Germany
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Abstract

In the present work, we consider an inverse boundary value problem for a fourth order pseudo parabolic equation with periodic and integral condition. Using analytical and operator-theoretic methods, as well as the Fourier method, the existence and uniqueness of the classical solution of this problem is proved. By the contraction mapping principle is formulated as an auxiliary inverse problem which, in turn, is reduced to the operator equation in a specified Banach space using the method of spectral analysis.

Keywords

inverse problemsnonlocal integral conditionclassical solution
CLC number: 35K70, 35K35

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AIMS Mathematics
Volume 8 Issue 2,
February 2023
Pages 2622-2633
DOI: 10.3934/math.2023136

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Mehraliyev Y, Allahverdiyeva S, Ramazanova A. On one coefficient inverse boundary value problem for a linear pseudoparabolic equation of the fourth order. AIMS Mathematics, 2023, 8(2): 2622-2633. https://doi.org/10.3934/math.2023136

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Received: 05 April 2022
Revised: 11 July 2022
Accepted: 25 August 2022
Published: 15 February 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)