Spectral Properties of the Generalised Samarskii–Ionkin Type Problems

Nurgissa Yessirkegenov


In this paper we study spectral properties of the Laplace operator with a 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. 

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