On the construction of a nonnegative solution for one class of Urysohn-type nonlinear integral equations on a semiaxis

• Date: 2011
• Main Authors: Khachatryan, A. Kh., Khachatryan, Kh. A., Хачатрян, А. Х., Хачатрян, Х. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2011
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2702
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We investigate a class of Urysohn-type nonlinear integral equations with noncompact operator. We assume that Wiener-Hopf-Hankel-type linear integral operator is local minorant for initial Urysohn operator. We prove alternative theorem on the existence of positive solutions and investigate asymptot...