Number: Math 10/90
Author(s): LEPP, Riho.
Title: Discrete approximation method for nonlinear integral equation of the second kind. 26 p.
Language: English
ABSTRACT. In this paper we use the discrete approximation method for the
solution of a nonlinear integral equation with an integral operator from L
to L . We define a system of linear piecewise integral connection
operators between the space of essentially bounded functions L and the
sequence of Euclidean spaces with increasing dimensionality. We replace
the initial equation by a sequence of finite-dimensional ones and present
convergence conditions for approximate solutions together with the rate of
convergence.