On bounded solutions of a class of nonlinear integral equations on the plane and the Urysohn equation in a quadrant of the plane

UDC 517.968.4 We study a class of two-dimensional integral equations in the plane with monotonic nonlinearity. These equations have a lot of applications in many fields of natural science. For example, such equations arise in the dynamic theory of $p$-adic open-closed strings, in the mathematical th...

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Bibliographic Details
Date:2021
Main Authors: Khachatryan , Kh. A., Petrosyan , H. S., Хачатрян, Х. А., Петросян, А. С., Петросян , А. С.
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2021
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/6541
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal