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

Yashar Mehraliyev; Seriye Allahverdiyeva; Aysel Ramazanova; Yashar Mehraliyev; Seriye Allahverdiyeva; Aysel Ramazanova

doi:10.3934/math.2023136

AIMS Mathematics

2023, Volume 8, Issue 2: 2622-2633. doi: 10.3934/math.2023136

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

1.
Department of Differential and Integral Equations, Baku State University, Baku, Azerbaijan
2.
Mingachevir State University, Dilara Aliyeva str.21, Mingachevir, Azerbaijan
3.
Department of Mathematics, University Duisburg-Essen, Essen, Germany

Received: 05 April 2022 Revised: 11 July 2022 Accepted: 25 August 2022 Published: 08 November 2022
MSC : 35K70, 35K35

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.
- inverse problems,
- nonlocal integral condition,
- classical solution
Citation: Yashar Mehraliyev, Seriye Allahverdiyeva, Aysel Ramazanova. On one coefficient inverse boundary value problem for a linear pseudoparabolic equation of the fourth order[J]. AIMS Mathematics, 2023, 8(2): 2622-2633. doi: 10.3934/math.2023136

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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.

References

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