Journal of applied mathematics & informatics

  • 제7권1호
  • /
  • Pages.223-236
  • /
  • 2000
  • /
  • 2734-1194(pISSN)
  • /
  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

FREDHOLM INTEGRAL EQUATION WITH SINGULAR KERNEL

  • M. A. Abdou (Department of Mathematics Alexandria University) ;
  • S. A. Hassan (Department of Mathematics Alexandria University)
  • 발행 : 2000.01.01

⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, we solve the Fredholm integral equation of the first and second kind when the kernel takes a singular form. Also, some important relations for Chebyshev polynomial of integration are established.

키워드

참고문헌

  1. PMM v.53 Some approximate methods of solving integral equations of mixed problems E. V. Kovalenko
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  3. Higher Transcendental functions v.2 G. Bateman;A. Ergelyi
  4. Contact problems for a linearly deformable base G. Ya. Popov
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  8. J. CAM v.72 Fredholm integral equation of the second kind with potential kernel M.A. Abdou
  9. P.U.M.A. v.5 no.3 Boundary value of a contact problem M.A. Abdou;S.A. Hassan
  10. Some basic problems of the Mathematical theory of elasticity N.I. Muskhelishvili
  11. PMM v.23 Plane contact problem of the theory of creef N.K. Artiunian
  12. PMM v.48 Spectral relationships for the integral operators generated by kerneal in the form of a Wener-Sonin integral and their application to contact problems S.M. Mkhitarian
  13. Dakl. Akad. Nauk. Armenia On different methods for solving the integral equation of the first kind with Karlman kernel S.M. Mkhitarian;M.A. Abdou
  14. Dakl. Akad. Nauk. Armenia v.90 On different methods for solving the Fredholm integral equation of the first kind with logarithmic kernel S.M. Mkhitarian;M.A. Abdou