Spectral relationships of the integral equation with logarithmic kernel in some different domains

Authors

  • M. I. Youssef Faculty of Education, Alexandria University, Egypt.
  • M. A. Abdou Department of Mathematics, Faculty of Education, Alexandria University, Egypt.

DOI:

https://doi.org/10.24297/jap.v4i3.2015

Keywords:

Potential theory method, spectral relationships, Chebyshev polynomial (CP), elliptic integral.

Abstract

In this work, the Fredholm integral equation (FIE) with logarithmic kernel is investigated from the contact problem in the plane theory of elasticity. Then, using potential theory method (PTM), the spectral relationships (SRs) of this integral equation are obtained in some different domains of the contact. Many special cases and new SRs are established and discussed from this work.

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Author Biography

M. I. Youssef, Faculty of Education, Alexandria University, Egypt.

Department of Mathematics

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Published

2014-05-17

How to Cite

Youssef, M. I., & Abdou, M. A. (2014). Spectral relationships of the integral equation with logarithmic kernel in some different domains. JOURNAL OF ADVANCES IN PHYSICS, 4(3), 610–622. https://doi.org/10.24297/jap.v4i3.2015

Issue

Vol. 4 No. 3

Section

Articles

License

Creative Commons License All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.