Nonlinear Volterra Integral Equation of the Second Kind and Biorthogonal Systems

M. I. Berenguer, D. Gámez, A. I. Garralda-Guillem and M. C. Serrano Pérez

Abstract and Applied Analysis, 2010, vol. 2010, 1-11

Abstract:

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.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:135216

DOI: 10.1155/2010/135216

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