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Some properties of Uryson-Stieltjes integral operators. (English) Zbl 0896.47050

The author gives conditions under which an Uryson-Stieltjes integral operator maps the space of continuous functions, or the space of functions of bounded variation, into itself. This leads to solvability results for integral equations involving such operators.

MSC:

47H30 Particular nonlinear operators (superposition, Hammerstein, Nemytskiĭ, Uryson, etc.)
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