Approximate solutions of nonlinear integral equation systems

In the present thesis the historical development of integral equations are given firstly. Then the method which was studied in a paper of KANWAL and K. C. LIU (Kanwal and Liu, 1989) and a paper of M. SEZER (Sezer, 1996), is applied to the nonlinear Fredholm and Volterra integral equation systems with variable coefficients.This thesis consists of three chapters.In the first chapter the basic concepts are given which are necessary for the subject.In the second chapter, it is investigated a Taylor polynomial solutions of nonlinear Volterra integral equation systems with variable coefficients and nonlinear Fredholm integral equation systems with variable coefficients which is given for integral equations.In the final chapter, practices about the approximate solutions of nonlinear Volterra integral equation systems with variable coefficients and nonlinear Fredholm integral equation systems with variable coefficients are given.