Weakly Nonlinear Fredholm Integral Equations with Degenerate Kernel in Banach Spaces

We consider weakly nonlinear Fredholm integral equations with degenerate kernel in Banach spaces and establish a necessary condition and sufficient conditions for the existence of solutions of equations of this kind. The convergent iterative procedures are proposed for the construction either of a s...

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Bibliographic Details
Date:2015
Main Authors: Zhuravlyov, V. Р., Журавльов, В. П.
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/2083
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal