MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
ON SOLVABILITY OF QUADRATIC HAMMERSTEIN INTEGRAL EQUATIONS IN HÖLDER SPACES
M. A. Darwish, M. M. A. Metwali, D. O'Regan

Abstract

Using Schauder's fixed point theorem we consider the solvability of a quadratic Hammerstein integral equation in the space of functions satisfying a Hölder condition. An example is included to illustrate our results.

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Keywords: Quadratic Hammerstein integral equation; Hölder condition; Schauder fixed point theorem.

MSC: 45G10, 45M99, 47H09

DOI: 10.57016/MV-nuyr4938

Pages:  242$-$248     

Volume  74 ,  Issue  4 ,  2022