On a discussion of Volterra–Fredholm integral equation with discontinuous kernel

On a discussion of Volterra–Fredholm integral equation with discontinuous kernel

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 probl...

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Bibliographic Details
Main Authors: M. A. Abdou, A. A. Soliman, M. A. Abdel–Aty
Format: Article
Language:English
Published: SpringerOpen 2020-02-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Banach space
Volterra–Fredholm integral equation
Separation of variables method
Online Access:http://link.springer.com/article/10.1186/s42787-020-00074-8

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