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 .
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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. 195–205DOI 10.4171/ZAA/1318