Study on the existence of solutions for a generalized functional integral equation in L1 spaces

Abstract

Using a nonlinear alternative theorem of Krasnosel'skii type proved recently by Smaïl Djebali and Zahira Sahnoun, we investigate, in this paper, the existence of solutions for a generalized mixed-type functional integral equation in L1 space. We also present some examples of the integral equation to confirm the efficiency of our results. MSC: 47H10, 45A05. © 2013 Yang et al.; licensee Springer.