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Monotonic positive solution of a nonlinear quadratic functional integral equation
Journal article   Peer reviewed

Monotonic positive solution of a nonlinear quadratic functional integral equation

AMA El-Sayed and HHG Hashem
Applied mathematics and computation, Vol.216(9), pp.2576-2580
01/07/2010
DOI: https://doi.org/10.1016/j.amc.2010.03.099

Abstract

Computation Integral equations Mathematical analysis Mathematical models Nonlinearity
The existence of positive monotonic solutions, in the class of continuous functions, for some nonlinear quadratic integral equation have been studied in [4], [5], [6], [7] and [8]. Here we are concerning with a nonlinear quadratic integral equation of Volterra type and we shall prove the existence of at least one L sub(1-positive monotonic solution for that equation under Caratheodory condition.)

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