Spectral properties of the generalised Samarskii-Ionkin type problems

2018

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DOI 10.2298/fil1803019y
Data confidence 70 medium
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Abstract

In this paper, we study spectral properties of the Laplace operator with generalised Samarskii-Ionkin boundary conditions in a disk. The eigenfunctions and eigenvalues of these problems are constructed in the explicit form. Moreover, we prove the completeness of these eigenfunctions