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

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.

Citation

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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

Information

Published: 2010
First available in Project Euclid: 1 November 2010

zbMATH: 1198.65253
MathSciNet: MR2669083
Digital Object Identifier: 10.1155/2010/135216

Rights: Copyright © 2010 Hindawi

Vol.2010 • 2010
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