Integrable and continuous solutions of a nonlinear quadratic integral equation

We are concerned here with a nonlinear quadratic integral equation of Volterra type. The existence of at least one $L_1-$ positive solution will be proved under the Carath\`{e}odory condition. Secondly we will make a link between Peano condition and Carath\`{e}odory condition to prove the existence...

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Bibliographic Details
Main Authors: Ahmed El-Sayed, H. H. G. Hashem
Format: Article
Language:English
Published: University of Szeged 2008-08-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=339