ON ONE URYSOHN TYPE NONLINEAR INTEGRAL EQUATION WITH NONCOMPACT OPERATOR
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Author(s)
ON ONE URYSOHN TYPE NONLINEAR INTEGRAL EQUATION WITH NONCOMPACT OPERATOR Kh. A. Khachatryan
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.
DOI: 10.46991/PYSUA.2010.44.3.023 Physical and Mathematical Sciences, 45(1 (224) 23-28