On a singular integral equation with log kernel and its application

نویسندگان

  • Sudeshna Banerjea
  • Chiranjib Sarkar
چکیده

We used function theoretic method to solve a singular integral equation with logarithmic kernel in two disjoint finite intervals where the unknown function satisfying the integral equation may be bounded or unbounded at the nonzero finite endpoints of the interval concerned. An appropriate solution of this integral equation is then applied to solve the problem of scattering of time harmonic surface water waves by a fully submerged thin vertical barrier with a single gap.

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عنوان ژورنال:
  • Int. J. Math. Mathematical Sciences

دوره 2006  شماره 

صفحات  -

تاریخ انتشار 2006