On approximate solution of Hammerstein integral equations in the space Lp (p⩾1)

摘要

This paper deals with an approximate method for solving Hammerstein integral equation. This method is based on the replacement of the kernel of the given equation by degenerate kernel and which it has a solution equivalent to the solution of a system of nonlinear algebraic equations. Suitable numerical technique can be used to obtain the results of that problem. At the end of this paper, numerical examples were presented.