Nondecreasing Solutions of a Quadratic Integral Equation of Urysohn Type on Unbounded Interval

Leszek Olszowy

Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

Leszek Olszowy

Department of Mathematics, Rzeszów University of Technology, W. Pola 2, 35-959 Rzeszów, Poland

lolszowy@prz.edu.pl

Keywords

Fixed-point theorem
measures of noncompactness
nondecreasing solutions
quadratic integral equation of Urysohn type

Mathematics Subject Classification

47H09, 47B38, 47H30

Suggested citation

L. Olszowy. “Nondecreasing Solutions of a Quadratic Integral Equation of Urysohn Type on Unbounded Interval.” Journal of Convex Analysis 18 (2011), No. 2, 455–464.