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

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...