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Integrable and continuous solutions of a nonlinear quadratic

By Integral Equation, El-sayed A. M. A and Hashem H. H. G


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 Carathèodory condition. Secondly we will make a link between Peano condition and Carathèodory condition to prove the existence of at least one positive continuous solution. Finally the existence of the maximal and minimal solutions will be proved

Topics: Quadratic integral equation, Positive integrable solution, Continuous solution, Maximal
Year: 2014
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