
Journal of Convex Analysis 18 (2011), No. 2, 455464 Copyright Heldermann Verlag 2011 Nondecreasing Solutions of a Quadratic Integral Equation of Urysohn Type on Unbounded Interval Leszek Olszowy Department of Mathematics, Rzeszów University of Technology, W. Pola 2, 35959 Rzeszów, Poland lolszowy@prz.edu.pl Using the technique associated with measures of noncompactness we prove the existence of nondecreasing solutions of a class of quadratic integral equation of Urysohn type in the Fréchet space of real functions defined and continuous on an unbounded interval. Keywords: Fixedpoint theorem, measures of noncompactness, nondecreasing solutions, quadratic integral equation of Urysohn type. MSC: 47H09, 47B38, 47H30 [ Fulltextpdf (104 KB)] for subscribers only. 