On the exact solution of nonlinear integro-differential equations

Abstract

A method for constructing exact explicit solutions to problems involving a nonlinear operator B defined as a perturbation of a linear correct operator A^ with linear bounded functionals and nonlinear continuous functionals is presented. The technique is general to deal with several kinds of nonlinear problems; it is easily programmable and suitable for large equations. The method is applied here to solve nonlinear integro-differential equations of Fredholm type.