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Ass. Lect. Mohamed Abdallah Abdel-Aty Ali :: Publications: |
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| Title: | On a discussion of Volterra–Fredholm integral equation with discontinuous kernel |
| Authors: | M. A. .Abdou, A. A. Soliman, M. A. Abdel-Aty |
| Year: | 2020 |
| Keywords: | Banach space, Volterra–Fredholm integral equation, Separation of variables method. |
| Journal: | Journal of the Egyptian Mathematical Society |
| Volume: | 28 |
| Issue: | Not Available |
| Pages: | 1-10 |
| Publisher: | Springer International Publishing AG, part of Springer Nature 2020 |
| Local/International: | Local |
| Paper Link: | |
| Full paper | Mohamed Abdallah Abdel-Aty Ali_On a discussion of Volterra–Fredholm integral equation with discontinuous kernel.pdf |
| Supplementary materials | Not Available |
| Abstract: |
The purpose of this paper is to establish the general solution of a Volterra–Fredholm integral equation with discontinuous kernel in a Banach space. Banach’s fixed point theorem is used to prove the existence and uniqueness of the solution. By using separation of variables method, the problem is reduced to Volterra integral equations of the second kind with continuous kernel. Normality and continuity of the integral operator are also discussed. |
