Abstract and Applied Analysis

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

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2010 (2010), Article ID 135216, 11 pages.

Dates
First available in Project Euclid: 1 November 2010

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1288620740

Digital Object Identifier
doi:10.1155/2010/135216

Mathematical Reviews number (MathSciNet)
MR2669083

Zentralblatt MATH identifier
1198.65253

Citation

Berenguer, M. I.; Gámez, D.; Garralda-Guillem, A. I.; Serrano Pérez, M. C. Nonlinear Volterra Integral Equation of the Second Kind and Biorthogonal Systems. Abstr. Appl. Anal. 2010 (2010), Article ID 135216, 11 pages. doi:10.1155/2010/135216. https://projecteuclid.org/euclid.aaa/1288620740


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