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

AIMS Mathematics

article

Yashar Mehraliyev¹  Seriye Allahverdiyeva²  Aysel Ramazanova³ 

[1] Department of Differential and Integral Equations, Baku State University;Mingachevir State University;Department of Mathematics, University Duisburg-Essen

关键词: inverse problems;    nonlocal integral condition;    classical solution;   

DOI  :  10.3934/math.2023136

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

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.

【 授权许可】

CC BY