Finiteness of the Spectrum of Boundary Value Problems


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Abstract

We consider boundary value problems with spectral parameter polynomially occurring in the differential equation or the boundary conditions. It is shown that some of these problems have a prescribed finite spectrum. A wide class of boundary value problems which do not have finite spectrum exist is found.

About the authors

A. M. Akhtyamov

Bashkir State University; Mavlyutov Institute of Mechanics

Author for correspondence.
Email: AkhtyamovAM@mail.ru
Russian Federation, Ufa, 450076; Ufa, 450054

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