Bekir İlhan, İsmet Özdemir
Abstract:
The goal in this paper is to prove an existence theorem for the
solutions of a class of functional integral equations which contain
a number of classical nonlinear integral equations as special cases.
Our investigations will be carried out in the space of continuous and
bounded functions on an unbounded interval.
The main tools are some techniques in analysis and the Schauder fixed
point theorem via measures of noncompactness. Our results extend and improve
some known results in the recent literature. Three nontrivial examples
explain the generalizations and applications of our results.
Submitted May 30, 2016. Published October 10, 2016.
Math Subject Classifications: 45G10, 47H10, 47H08, 45M99.
Key Words: Nonlinear integral equation; measure of noncompactness;
fixed-point theorem.
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Bekir İlhan Malatya Science High School 44110, Malatya, Turkey email: bekirilhan@gmail.com | |
İsmet Özdemir Faculty of Education, İnönü University 44280, Malatya, Turkey ismet.ozdemir@inonu.edu.tr |
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