On some integral equations with Carleman kernel

Joint Authors

Doma, S. B.
al-Sirafi, I. H.
al-Sayyid, M. A.

Source

Alexandria Journal of Mathematics

Issue

Vol. 1, Issue 1 (30 Jun. 2010), pp.19-39, 21 p.

Publisher

Amgad Society for Developing the Community and Protecting the Environment

Publication Date

2010-06-30

Country of Publication

Egypt

No. of Pages

21

Main Subjects

Mathematics

Abstract EN

In this paper, the existence and uniqueness of the solution of Volterra-Fredholm integral equations of the first kind with Carleman kernel is investigated.

Furthermore, toeplitz matrix method and Nystrom method are used to obtain the eigenvalues and eigenfunctions for the Fredholm integral equation of the second kind with Carleman kernel.

The comparison between the two methods shows that their numerical results are approximately the same

American Psychological Association (APA)

al-Sirafi, I. H.& Doma, S. B.& al-Sayyid, M. A.. 2010. On some integral equations with Carleman kernel. Alexandria Journal of Mathematics،Vol. 1, no. 1, pp.19-39.
https://search.emarefa.net/detail/BIM-760823

Modern Language Association (MLA)

al-Sirafi, I. H.…[et al.]. On some integral equations with Carleman kernel. Alexandria Journal of Mathematics Vol. 1, no. 1 (Jun. 2010), pp.19-39.
https://search.emarefa.net/detail/BIM-760823

American Medical Association (AMA)

al-Sirafi, I. H.& Doma, S. B.& al-Sayyid, M. A.. On some integral equations with Carleman kernel. Alexandria Journal of Mathematics. 2010. Vol. 1, no. 1, pp.19-39.
https://search.emarefa.net/detail/BIM-760823

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 39

Record ID

BIM-760823