Numerical solutions of nonlinear integral equations on the half line

Abstract

In this paper, we consider the numerical solvability of nonlinear integral equations of Hammerstein type on the half line We study the convergence analysis of the approximate solutions of the above equations in two parts, first with non-convolution kernel and then with convolution kernel. We make use of recently developed linear theory due to Anselone and Sloan [2,3,4] and Chandler and Graham [9J for this purpose.