Monotonic positive solution of a nonlinear quadratic functional integral equation

Abstract 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] , [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 1 - positive monotonic solution for that equation under Caratheodory condition.