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, issue 1

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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https://doi.org/10.1155/2010/135216

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:135216

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