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Properties of the solution of an integral equation with modified argument. (English) Zbl 1199.45017

Summary: We use the technique of Picard operators in order to obtain two properties of the solution of the following nonlinear integral \[ x(t) =\int_a^b K(t, s, x(s), x(g(s)), x(a), x(b))\,ds + f (t),\quad t\in [a, b]. \]

MSC:

45G10 Other nonlinear integral equations
47H10 Fixed-point theorems
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