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Dr. El Sayed Ahmed Mohamed Ghorayeb :: Publications: |
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| Title: | 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: | Not Available |
| Journal: | AMSE Review |
| Volume: | 16 |
| Issue: | 1 |
| Pages: | 25-41 |
| Publisher: | Not Available |
| Local/International: | International |
| Paper Link: | Not Available |
| Full paper | 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. |
