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Nondecreasing solutions of a quadratic integral equation of Urysohn-Stieltjes type. (English) Zbl 1251.45003
An existence theorem for a quadratic integral equations of Urysohn-Stieltjes type in the space of continuous functions is proven. The main tools are: the concept of measure of noncompactness and fixed point theorem due to Darbo.
MSC:
45G10Nonsingular nonlinear integral equations
47H08Measures of noncompactness and condensing mappings, K-set contractions, etc.
47H10Fixed point theorems for nonlinear operators on topological linear spaces
47H30Particular nonlinear operators