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On Quadratic Integral Equations of Urysohn Type in Fréchet Spaces

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Author(s): M Benchohra | M. A. Darwish

Journal: Acta Mathematica Universitatis Comenianae
ISSN 0862-9544

Volume: LXXIX;
Issue: 1;
Start page: 105;
Date: 2010;
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Keywords: quadratic integral equation | existence and uniqueness | fixed-point | Leray-Schauder | Fré chet space

ABSTRACT
In this paper, we investigate the existence of a unique solution on a semiinfinite interval for a quadratic integral equation of Urysohn type in Fréchet spaces using a nonlinear alternative of Leray-Schauder type for contractive maps.
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