Nonlinear Volterra Integral Equation of the Second Kind and Biorthogonal Systems Berenguer Maldonado, María Isabel Gámez, Domingo Garralda Guillén, Ana Isabel Serrano Pérez, Carmen Mathematics Applied Schauder bases 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. 2014-04-23T10:35:20Z 2014-04-23T10:35:20Z 2010 journal article 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] 1085-3375 http://hdl.handle.net/10481/31366 10.1155/2010/135216 eng http://creativecommons.org/licenses/by-nc-nd/3.0/ open access Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License Hindawi Publishing Corporation