ON THE EXISTENCE OF NON-INCREASING INTEGRABLE SOLUTIONS FOR A NONLINEAR INTEGRO-DIFFERENTIAL EQUATION

Abstract

Many problems from physics, engineering and economics can be eciently solvedwhen dealing with nonlinear integral equations which involve both integrals and derivativesof unknown function. In this work, the existence of non-increasing integrable solutions fora nonlinear integro-differential equation is investigated using the Darbo xed point theoremvia the Hausdorff measure technique of non-compactness.