Natural Science, Mathematics, 2025
ON ONE URYSOHN TYPE NONLINEAR INTEGRAL EQUATION WITH NONCOMPACT OPERATOR
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Submitted: 2025-02-23; Published: 2025-02-23
© 2025 by author(s) and The Gufo Inc.
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Abstract
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.