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Bibliographic Details
Main Authors: Dzhamalov, Sirojiddin, Khalkhadzhaev, Bakhtiyor
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2407.16184
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Table of Contents:
  • In this article the correctness of al inear inverse problem with semi-nonlocal boundary conditions for a three-dimensional equation in a parallelepiped is considered. The equation itself is a fourth order mixed type equation of the second kind. The existence and uniqueness theorems for a generalized solution of the inverse problem in a certain class of integrable functions are~proved using the methods of Fourier, "$\varepsilon $-regularization", a priori estimates, approximating sequences and contracting mappings.