Biorthogonal Systems Approximating the Solution of the Nonlinear Volterra Integro-Differential Equation Berenguer Maldonado, María Isabel Garralda Guillén, Ana Isabel Ruiz Galán, Manuel Nonlinear Volterra integro-differential equation Biorthogonal systems Banach spaces 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. 2014-10-22T10:41:41Z 2014-10-22T10:41:41Z 2010 info:eu-repo/semantics/article Berenguer, M.I.; Garralda-Guillén, A.I.; Ruiz Galán, M. Biorthogonal Systems Approximating the Solution of the Nonlinear Volterra Integro-Differential Equation. Fixed Point Theory and Applications, 2010: 470149 (2010). [http://hdl.handle.net/10481/33461] 1687-1820 http://hdl.handle.net/10481/33461 10.1155/2010/470149 eng http://creativecommons.org/licenses/by-nc-nd/3.0/ info:eu-repo/semantics/openAccess Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License Springer Open; Hindawi Publishing