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

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作者：
A. Kh. Khachatryan
Kh. A. Khachatryan
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来源：
Ukrainian Mathematical Journal | 2011年 / 63卷
关键词：
Nonnegative Solution; Hankel Operator; Convolution Equation; Convolution Type; Alternative Theorem;
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摘要：
We investigate one class of Urysohn-type nonlinear integral equations with noncompact operator. It is assumed that a Wiener–Hopf–Hankel-type linear integral operator is a local minorant for the initial Urysohn operator. We prove an alternative theorem on the existence of positive solutions and investigate the asymptotic behavior of the obtained solutions at infinity.
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页码：134 / 145
页数：11
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