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Nonlinear Volterra Integral Equation of the Second Kind and Biorthogonal Systems

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

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.

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Handle: RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:135216
DOI: 10.1155/2010/135216
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