Existence of Nondecreasing and Continuous Solutions for a Nonlinear Integral Equation with Supremum in the Kernel
Josefa Caballero
Universidad de Las Palmas de Gran Canaria, SpainBelén López
Universidad de Las Palmas de Gran Canaria, SpainKishin Sadarangani
Universidad de Las Palmas de Gran Canaria, Spain
Abstract
Using a technique associated with measures of noncompactness we prove the existence of nondecreasing solutions of an integral equation of Volterra type with supremum in the kernel, in the space .
Cite this article
Josefa Caballero, Belén López, Kishin Sadarangani, Existence of Nondecreasing and Continuous Solutions for a Nonlinear Integral Equation with Supremum in the Kernel. Z. Anal. Anwend. 26 (2007), no. 2, pp. 195–205
DOI 10.4171/ZAA/1318