INVESTIGATION OF THE SOLUTION OF A FREDHOLM INTEGRAL EQUATION OF FIRST KIND WITH RESPECT TO THE FOURIER SERIES

Authors

  • Md. Sharif Uddin Mathematics Discipline, Khulna University, Khulna-9208, Bangladesh
  • M. Sifuzzaman Mathematics Discipline, Khulna University, Khulna-9208, Bangladesh
  • M.A. Huda Mathematics Discipline, Khulna University, Khulna-9208, Bangladesh
  • M.R. Islam Mathematics Discipline, Khulna University, Khulna-9208, Bangladesh

DOI:

https://doi.org/10.53808/KUS.2008.9.1.0714-PS

Keywords:

Fourier series, Fredholm integral equation, kernel, stationary signal

Abstract

When an integral equation is solved by using the Fourier series then the solution represents a stationary signal. Usually, integral equation is solved by the successive approximation method and the resolvent kernel method in which the solution is not of Fourier series type and this solution does not represent a stationary signal. In this paper, our main goal is to determine the solution of a Fredholm integral equation of first kind by using the Fourier series.

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References

Jeffry, P.A. 1976. Integral Equations. International Textbook Company Ltd., London.

Mikhlin, S.G. 1957. Integral Equations. Pergamon, Oxford.

Peters, A.S. 1972. Pairs of Cauchy Singular Integral Equations. Communications on Pure & Applied Mathematics, 25: 369-402.

Pogorzelski, W. 1966. Integral Equations and their Applications. Pergamon, Oxford.

Swarup, S. 1996. Integral Equations. Krishna Prakashana Media Ltd., India.

Tricomi, F.G. 1957. Integral Equations. Interscience, New York.

Williams, W.E. 1978. Note on a Singular Integral Equation. Journal of Institute Mathematics and its Applications, 22: 211-241

Wirda, G. 1930. Integral Equations. Leipzig, Germany.

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Published

29-05-2008

How to Cite

[1]
M. S. . . Uddin, M. . Sifuzzaman, M. . . Huda, and M. . Islam, “ INVESTIGATION OF THE SOLUTION OF A FREDHOLM INTEGRAL EQUATION OF FIRST KIND WITH RESPECT TO THE FOURIER SERIES”, Khulna Univ. Stud., pp. 125–130, May 2008.

Issue

Section

Physical Science

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