Article

Weekly Ill-posed integral geometry problems of Volterra type in three-dimensional space

A. BegmatovJoint Belarusian-Uzbek Intersectoral Institute of Applied Technical Qualifications in TashkentАлишер ИсмоиловUzbek-Finnish pedagogical institute

Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisijournal2024en

ABI

Abstract

In this paper considers the problem of recovering a function from families of spheres in space. The uniqueness of the solution of the problem is proved by reducing it to the Volterra integral equation of the first and then the second kind. Fourier transform methods are also used. Uniqueness theorems are proved for some new classes of operator equations of Volterra type in three-dimensional space.

Topics

Differential Equations and Boundary Problems Numerical methods in inverse problems Differential Equations and Numerical Methods

Identifiers

DOI: 10.25092/baunfbed.1462616

Citations and references

Cited by 06 references

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