Biorthogonal Systems Approximating the Solution of the Nonlinear Volterra Integro-Differential Equation

被引：9

作者：

Berenguer, M. I. ^{[1
]}

Garralda-Guillem, A. I. ^{[1
]}

Ruiz Galan, M. ^{[1
]}

机构：

[1] Univ Granada, Dept Matemat Aplicada, Escuela Univ Arquitectura Tecn, E-18071 Granada, Spain

来源：

FIXED POINT THEORY AND APPLICATIONS | 2010年

关键词：

INITIAL-VALUE PROBLEMS; NUMERICAL-SOLUTION;

D O I：

10.1155/2010/470149

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with obtaining a numerical method in order to approximate the solution of the nonlinear Volterra integro-differential equation. We define, following a fixed-point approach, a sequence of functions which approximate the solution of this type of equation, due to some properties of certain biorthogonal systems for the Banach spaces C[0,1] and C[0,1](2).

引用

页数：9

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