Nonlinear Volterra Integral Equation of the Second Kind and Biorthogonal Systems

Berenguer Maldonado, María Isabel; Gámez, Domingo; Garralda Guillén, Ana Isabel; Serrano Pérez, Carmen

doi:10.1155/2010/135216

Berenguer_BiorthogonalSystems.pdf (1.779Mb)

Identificadores

URI: http://hdl.handle.net/10481/31366

DOI: 10.1155/2010/135216

ISSN: 1085-3375

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Editorial

Hindawi Publishing Corporation

Materia

Mathematics

Applied

Schauder bases

Date

2010

Referencia bibliográfica

Berenguer, M.I.; Gámez, D.; Garralda-Guillem, A.I.; Serrano Pérez, M.C. Nonlinear Volterra Integral Equation of the Second Kind and Biorthogonal Systems. Abstract and Applied Analysis, 2010: 135216 (2010). [http://hdl.handle.net/10481/31366]

Sponsorship

The research is partially supported by M.E.C. (Spain) and FEDER project no. MTM2006-12533, and by Junta de Andaluca Grant FQM359.

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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