Integrable solutions of a nonlinear functional integral equation on an unbounded interval |
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Authors: | Mohamed Aziz Taoudi |
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Institution: | 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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