International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2001 / Article

Open Access

Volume 26 |Article ID 838126 | https://doi.org/10.1155/S0161171201005981

M. A. Abdou, A. A. El-Bary, "Fredholm-Volterra integral equation with potential kernel", International Journal of Mathematics and Mathematical Sciences, vol. 26, Article ID 838126, 10 pages, 2001. https://doi.org/10.1155/S0161171201005981

Fredholm-Volterra integral equation with potential kernel

Received09 Oct 2000

Abstract

A method is used to solve the Fredholm-Volterra integral equation of the first kind in the space L2(Ω)×C(0,T), Ω={(x,y):x2+y2a}, z=0, and T<. The kernel of the Fredholm integral term considered in the generalized potential form belongs to the class C([Ω]×[Ω]), while the kernel of Volterra integral term is a positive and continuous function that belongs to the class C[0,T]. Also in this work the solution of Fredholm integral equation of the second and first kind with a potential kernel is discussed. Many interesting cases are derived and established in the paper.

Copyright © 2001 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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