E.U. Arquitectura Técnica, Departamento de Matemática Aplicada, Universidad de Granada, c/ Severo Ochoa, s/n, 18071 Granada, Spain
Academic Editor: D. Anderson
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.
We obtain an approximation of the solution of the nonlinear Volterra integral equation
of the second kind, by means of a new method for its numerical resolution. The main tools used to establish
it are the properties of a biorthogonal system in a Banach space and the Banach fixed point theorem.