Integrable solutions of a nonlinear functional integral equation on an unbounded interval |
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Authors: | Mohamed Aziz Taoudi |
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Affiliation: | Department of Mathematics and Computer Science, Gabes University, Cité Erriadh, Zrig, 6072, Gabes, Tunisia |
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Abstract: | In this paper we prove the existence of integrable solutions of a generalized functional-integral equation, which includes many key integral and functional equations that arise in nonlinear analysis and its applications. This is achieved by means of an improvement of a Krasnosel’skii type fixed point theorem recently proved by K. Latrach and the author. The result presented in this paper extends the corresponding result of [J. Banas, A. Chlebowicz, On existence of integrable solutions of a functional integral equation under Carathéodory condition, Nonlinear Anal. (2008) doi:10.1016/j.na.2008.04.020]. An example which shows the importance and the applicability of our result is also included. |
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Keywords: | 47H10 47H30 |
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