Conditions of Invertibility for Functional Operators with Shift in Weighted Hölder Spaces

We consider functional operators with shift in weighted Hölder spaces. The main result of the work is the proof of the conditions of invertibility for these operators. We also indicate the forms of the inverse operators. As an application, we propose to use these results for the solution of equation...

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Bibliographic Details
Date:2015
Main Authors: Karelin, O., Tarasenko, A. A., Карелін, О., Тарасенко, А. А.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2015
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2089
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal