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

• Datum: 2011
• Hauptverfasser: Khachatryan, A. Kh., Khachatryan, Kh. A., Хачатрян, А. Х., Хачатрян, Х. А.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2011
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2702
• Назва журналу: 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...