Geodesic
On one Urysohn type nonlinear integral equation with noncompact operator
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2010), pp. 23-28

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In the present paper the Urysohn type nonlinear integral equation with noncompact operator on the half-line is considered. It is assumed that the Wiener-Hopf-Hankel type operator is a local minorant for the initial Urysohn operator. The existence of a positive and bounded solution is proved. The limit of constructed solution at infinity is calculated. At the end of the work a list of examples is given.
Keywords: nonlinearity, iterative methods, Urysohn operator, Caratheodory condition. 
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Kh. A. Khachatryan. On one Urysohn type nonlinear integral equation with noncompact operator. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2010), pp. 23-28. http://geodesic.mathdoc.fr/item/UZERU_2010_3_a1/