| publication name | ON THE APPROXIMATION OF SOLUTIONS OF NONLINEAR VOLTERRA INTEGRAL EQUATIONS IN THE SPACE L |
|---|---|
| Authors | El-Sayed Ahmed M. Ghorayeb and M.I. Hessein |
| year | 1991 |
| keywords | |
| journal | AMSE Review |
| volume | 16 |
| issue | 1 |
| pages | 25-41 |
| publisher | Not Available |
| Local/International | International |
| Paper Link | Not Available |
| Full paper | download |
| 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.