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Eigenproblem of the Generalized Neumann
Kernel
Ali Hassan Mohamed Murid and Mohamed
M.S. Nasser
Abstract.
Recently, the Riemann problem in the interior domain of
a smooth Jordan curve was solved by transforming its boundary
condition to a Fredholm integral equation of the second
kind with the generalized Neumann kernel. The eigenvalues
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 play
an important role in the solvability of these integral
equations. In this paper, the necessary and sufficient
conditions |
| for
to be eigenvalues of the generalized Nuemann kernel are
given and the corresponding eigenfunctions are derived.
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Some examples
are presented.
Full text: PDF
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