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DIRICHLET-NEUMANN SPECTRAL PROBLEMS FOR THREE-DIMENSIONAL ELLIPTIC EQUATIONS WITH SINGULAR COEFFICIENTS

K. KarimovFerghana State University Department of Differential Equations 150100, Fergana, UZBEKISTANA. ShokirovFergana branch Tashkent University of IT Department of Exact Sciences 150100, Fergana, UZBEKISTAN
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Abstract

In this paper, in domains consisting of parts of a sphere, the Dirichlet-Neumann spectral problems are formulated for elliptic type equations with two and three singular coefficients. The region of values of the parameter where there are no eigenvalues of the problem and a countable number of eigenvalues of the problem are found and eigenfunctions corresponding to the found eigenvalues are constructed.

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