Nonlinear Volterra Integral Equation of the Second Kind and Biorthogonal Systems

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.

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Bibliographic Details
Main Authors: M. I. Berenguer, D. Gámez, A. I. Garralda-Guillem, M. C. Serrano Pérez
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2010/135216
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