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.
M. I. Berenguer. D. Gámez. A. I. Garralda-Guillem. M. C. Serrano Pérez. "Nonlinear Volterra Integral Equation of the Second Kind and Biorthogonal Systems." Abstr. Appl. Anal. 2010 1 - 11, 2010. https://doi.org/10.1155/2010/135216