Traitement d’une équation de vollerra avec un noyau de singularité double

Abstract

In this thesis, we are interested in the Volterra nonlinear integral equation with two weakly singular kernels. The purpose is to put the problemin a functional framework to come out with acceptable hypotheses, so a unique solution is admitted by our equation. In the same contions we attempted to build a numerical method to adaptthe equation and converge to wards the exact solution of the equation