Prof. Dr. Mohamed Abdalla Darwish, M. Metwali, D. O’Regan
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ON SOLVABILITY OF QUADRATIC HAMMERSTEIN INTEGRAL EQUATIONS IN HÖLDER SPACES
Using Schauder's fixed point theorem we consider the solvability of a quadratic Hammerstein integral equation in the space of functions satisfying a H\"{o}lder condition. An example is included to illustrate our results.