Boundary singularities of solutions to integal equations of the second kind

  • Authors:

  • Arvet Pedas;Gennadi Vainikko

  • Affiliations:

  • Institute of Applied Mathematics, University of Tartu, Tartu, Estonia;Institute of Applied Mathematics, University of Tartu, Tartu, Estonia

  • Venue:
  • MATH'05 Proceedings of the 7th WSEAS International Conference on Applied Mathematics
  • Year:
  • 2005

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Abstract

We study the smoothness and the singularities of the solution to Fredholm and Volterra integral equations of the second kind on a bounded interval. The kernel of the integral operator may have diagonal and boundary singularities.