On the existence of solutions of functional integral equation of Urysohn type

Authors:
Ibrahim Abouelfarag Ibrahim
Affiliations:
Mathematics Department, Faculty of Science, Suez Canal University, Ismailia, Egypt
Venue:
Computers & Mathematics with Applications
Year:
2009

Citing 6
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Abstract

In this paper we introduce a brief historical note about the study of the existence of solutions of functional integral equations. Hence we prove the existence of monotonic solutions of the functional integral equation of Urysohn type. The technique rely on the concept of measure of noncompactness and its associated Darbo fixed point theorem.