Periodica Mathematica Hungarica

, Volume 28, Issue 2, pp 143–149 | Cite as

Krein's method with certain singular kernel for solving the integral equation of the first kind

  • M. A. Abdou
  • N. Y. Ezzeldin
Article
Received:

Abstract

In this paper, we are going to obtain the spectral relations for the Fredholm integral equation of the first kind with certain singular kernel, by using Krein's method.

Keywords

Integral Equation Fredholm Integral Equation Singular Kernel Spectral Relation 
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References

  1. [1]
    S. M. Mkhitarian andM. A. Abdou,On Different Methods for Solving the Integral Equations of the First Type. Dakl. Akad. Nauk Armenia 1989.Google Scholar
  2. [2]
    M. A. Abdou, Some different methods for solving Fredholm integral equation of the first kind, To appear.Google Scholar
  3. [3]
    I. C. Gradchtein andI. M. Reguk,Integrals Tables, Summation, Series and Derivative, Nauk, Moscow, 1971.Google Scholar
  4. [4]
    G. Bateman andA. Ergelyi Higher Transcendental Functions T. 2. Nauk, Moscow 1974.Google Scholar

Copyright information

© Akadémiai Kiadó 1994

Authors and Affiliations

  • M. A. Abdou
    • 1
  • N. Y. Ezzeldin
    • 1
  1. 1.Faculty of educationDepartment of mathematics, Alex. UnivAlexEgypt

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