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This article is cited in 3 scientific papers (total in 3 papers) On solvability of some classes of Urysohn nonlinear integral equations with noncompact operators Kh. A. Khachatryan Institute of Mathematics National Academy of Sciences, Yerevan, Armenia Abstract: In present paper the classes of nonlinear integral equations with non completely continuous operators are considered. It is assumed that conservative nonlinear operator of Wiener–Hopf-Hankell–Hammerstein type is a linear minorant to the initial Urysohn operator. The alternative theorems of the existence of positive solutions of above-mentioned class equations are proved. The asymptotic behavior of the obtained solutions at infinity is investigated. The article is finalized by the presentation of some examples arising in applications. Keywords: Wiener–Hopf operator, eighen-value, limit of solution, one parameter family of positive solutions, asymptotic properties, Caratede'ory condition.  Full text:
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UDC: 517.968 Received: 20.03.2010 Language: Citation: Kh. A. Khachatryan, “On solvability of some classes of Urysohn nonlinear integral equations with noncompact operators”, Ufimsk. Mat. Zh., 2:2 (2010), 
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