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Solvability of a quadratic integral equation of Fredholm type via a modified argument

Dal İlyas, Temizer Ӧmer Faruk

Journal of Mathematics and Applications

2020

Vol. 43

47--66

This article concerns with the existence of solutions of thea quadratic integral equation of Fredholm type with a modified argument, [wzór], where p, k are functions and F is an operator satisfying the given conditions. Using the properties of the Hölder spaces and the classical Schauder fixed point theorem, we obtain the existence of solutions of the equation under certain assumptions. Also, we present two concrete examples in which our result can be applied.