Article

A LINEAR INVERSE PROBLEMFOR A THREE-DIMENSIONAL MIXED-TYPE EQUATION OF THE SECOND KIND, SECOND ORDERWITH SEMI-NONLOCAL BOUNDARY CONDITION IN AN UNBOUNDED PARALLELEPIPED

Sirojiddin DzhamalovV. I. Romanovskiy Institute of Mathematics Uzbekistan Academy of SciencesБ.К. СипатдиноваV. I. Romanovskiy Institute of Mathematics Uzbekistan Academy of Sciences

Челябинский физико-математический журналjournal2024en

ABI

Abstract

We have investigated the correctness of a linear inverse problem for a three-dimensional second kind, second order mixed-type equation in an unbounded parallelepiped. The existence and uniqueness theorems for a generalized solution to a linear inverse problem for the equation with a semi-nonlocal boundary condition are proved in a certain class of integrable functions. The ε-regularization, a priori estimates, approximation sequences, and Fourier transform methods are applied.

Topics

Differential Equations and Boundary Problems Differential Equations and Numerical Methods advanced mathematical theories

Identifiers

DOI: 10.47475/2500-0101-2024-9-3-471-482

Citations and references

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