Departamento de Matemática Aplicada, Escuela Universitaria de Arquitectura Técnica, Universidad de Granada, 18071 Granada, Spain
Academic Editor: Juan J. Nieto
Copyright © 2010 M. I. Berenguer et al. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
This paper deals with obtaining a numerical method in order to approximate the solution of the nonlinear Volterra integro-differential equation. We define, following a fixed-point approach, a sequence of functions which approximate the solution of this type of equation, due to some properties of certain biorthogonal systems for the Banach spaces and .