Perturbation Theory and the Banach – Steinhaus Theorem for Regularization of the Linear Equations of the First Kind

The regularizing equations with a vector parameter of regularization are constructed for the linear equations with closed operator acting in Banach spaces. Range of the operator can be an open, and the homogeneous equation may have a non-trivial solution. It is assumed that only approximations of op...

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Bibliographic Details
Main Authors: N.A. Sidorov, D.N. Sidorov, I. R. Muftahov
Format: Article
Language:English
Published: Irkutsk State University 2015-12-01
Series:Известия Иркутского государственного университета: Серия "Математика"
Subjects:
Online Access:http://isu.ru/journal/downloadArticle?article=_500c804c65fc484182f096512a693366&lang=rus