Biorthogonal Systems Approximating the Solution of the Nonlinear Volterra Integro-Differential Equation. (5th July 2010)

• Record Type: Journal Article
• Authors: Berenguer, M. I.; Garralda-Guillem, A. I.; Ruiz Galán, M.
• Other Names: Nieto Juan J. Academic Editor.
• Is Part Of: Fixed point theory and applications. Volume 2010(2010)
• Publication Date: 2010-07-05
• Subjects: Fixed point theory -- Periodicals; Mappings (Mathematics) -- Periodicals; 515.7248
• DOI: 10.1155/2010/470149
• Languages: English
• ISSNs: 1687-1812

Abstract

Abstract : 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 spacesC [ 0, 1 ] andC [ 0, 1 ] 2 .