Integrable and continuous solutions of a nonlinear quadratic integral equation

By Ahmed M. A. El-Sayed, H. Hashem. 2008

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We are concerned here with a nonlinear quadratic integral equation of Volterra type. The existence of at least one L1 positive solution will be proved under the Caratheodory condition. Secondly we will make a link between Peano condition and Caratheodory condition to prove the existence of at least one positive continuous solution. Finally the existence of the maximal and minimal solutions will be proved.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/7692b4074fe904b13bfcdc8694af0823062ffc32