2017
Том 69
№ 6

All Issues

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

Khachatryan A. Kh., Khachatryan Kh. A.

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Abstract

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 asymptotic behavior of obtained solutions at infinity.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 1, pp 134-145.

Citation Example: Khachatryan A. Kh., Khachatryan Kh. A. On the construction of a nonnegative solution for one class of Urysohn-type nonlinear integral equations on a semiaxis // Ukr. Mat. Zh. - 2011. - 63, № 1. - pp. 110-118.

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