Staff Members - Benha University
ON THE APPROXIMATION OF SOLUTIONS OF NONLINEAR VOLTERRA INTEGRAL EQUATIONS IN THE SPACE L
AMSE Review • 1991
Publication Information
Authors
El-Sayed Ahmed M. Ghorayeb and M.I. Hessein
Keywords
Not Available
Journal
AMSE Review
Publisher
Not Available
Volume
16
Issue
1
Pages
25-41
publication.type
International
Paper Link
Not Available
Supplementary Materials
Not Available
Abstract
It is well known that the Hammerstein nonlinear integral
equations with degenerate kernel is equivalent to system of
nonlinear algebraic equations. The method of solving that sy~
tem is more easy than any method of solving nonlinear integral
equation with non-degenerate kernel. This paper deals with
approximate solutions of nonlinear integral equation of
Volterra type in the space Lp' The given equation is replaced
by a Hammerstein nonlinear integral equation with degenerate
kernel and taking the solution of it as an approxiaate solution
of the given equation.
equations with degenerate kernel is equivalent to system of
nonlinear algebraic equations. The method of solving that sy~
tem is more easy than any method of solving nonlinear integral
equation with non-degenerate kernel. This paper deals with
approximate solutions of nonlinear integral equation of
Volterra type in the space Lp' The given equation is replaced
by a Hammerstein nonlinear integral equation with degenerate
kernel and taking the solution of it as an approxiaate solution
of the given equation.