Geodesic
Eigenproblem of the Generalized Neumann Kernel
Bulletin of the Malaysian Mathematical Society, Tome 26 (2003) no. 1 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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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 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. Some examples are presented. 
@article{BMMS_2003_26_1_a2,
     author = {Ali Hassan Mohamed Murid and Mohamed M.S. Nasser},
     title = {Eigenproblem of the {Generalized} {Neumann
}                        {Kernel}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2003},
     volume = {26},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2003_26_1_a2/}
}
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AU  - Mohamed M.S. Nasser
TI  - Eigenproblem of the Generalized Neumann
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%A Mohamed M.S. Nasser
%T Eigenproblem of the Generalized Neumann
                        Kernel
%J Bulletin of the Malaysian Mathematical Society
%D 2003
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%N 1
%U http://geodesic.mathdoc.fr/item/BMMS_2003_26_1_a2/
%F BMMS_2003_26_1_a2
Ali Hassan Mohamed Murid; Mohamed M.S. Nasser. Eigenproblem of the Generalized Neumann
                        Kernel. Bulletin of the Malaysian Mathematical Society, Tome 26 (2003) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2003_26_1_a2/