ON THE INTEGRAL EQUATION OF THE FIRST KIND REDUCTION TO THE EQUATION WITH A DEGENERATE KERNEL

ON THE INTEGRAL EQUATION OF THE FIRST KIND REDUCTION TO THE EQUATION WITH A DEGENERATE KERNEL

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An abstract ill-posed inverse problem reduced to the integral Fredgholm equation of the first kind is considered. The paper is devoted to the semi-heuristic scheme of the a priori predictions destined for the analysis of the reconstruction possibilities from the given level of the initial data error...

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Bibliographic Details
Main Author: V.M. DRAGILEV
Format: Article
Language:Russian
Published: Don State Technical University 2018-10-01
Series:Вестник Донского государственного технического университета
Subjects:
некорректные обратные задачи
интегральное уравнение фредгольма первого рода
метод проекций
априорный прогноз.
Online Access:https://vestnik.donstu.ru/jour/article/view/1401
Description
Summary:An abstract ill-posed inverse problem reduced to the integral Fredgholm equation of the first kind is considered. The paper is devoted to the semi-heuristic scheme of the a priori predictions destined for the analysis of the reconstruction possibilities from the given level of the initial data errors. The upper bounds are derived which admit, in the case of the appropriate relation between the parameters, to carry out the pre-dictions using the degenerate approximation for the kernel of the integral operator.
ISSN:1992-5980
1992-6006

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