@misc{10481/33461, year = {2010}, url = {http://hdl.handle.net/10481/33461}, 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 spaces C[0,1]and C[0,1]2.}, organization = {This research is partially supported by M.E.C. (Spain) and FEDER, project MTM2006-12533, and by Junta de Andaluca Grant FQM359.}, publisher = {Springer Open; Hindawi Publishing}, keywords = {Nonlinear Volterra integro-differential equation}, keywords = {Biorthogonal systems}, keywords = {Banach spaces}, title = {Biorthogonal Systems Approximating the Solution of the Nonlinear Volterra Integro-Differential Equation}, doi = {10.1155/2010/470149}, author = {Berenguer Maldonado, María Isabel and Garralda Guillén, Ana Isabel and Ruiz Galán, Manuel}, }