Fixed point techniques and Schauder bases to approximate the solution of the first order nonlinear mixed Fredholm�Volterra integro-differential equation

• Autores: María Isabel Berenguer Maldonado , Domingo Gámez Domingo, Antonio J. López Linares
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 252, Nº 1, 2013, págs. 52-61
• Idioma: inglés
• DOI: 10.1016/j.cam.2012.09.020
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• Resumen

  • In this work we approximate the solution of the first order nonlinear Fredholm�Volterra integro-differential equation, 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.