Finiteness of the Spectrum of Boundary Value Problems
- Authors: Akhtyamov A.M.1,2
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Affiliations:
- Bashkir State University
- Mavlyutov Institute of Mechanics
- Issue: Vol 55, No 1 (2019)
- Pages: 142-144
- Section: Short Communications
- URL: https://journals.rcsi.science/0012-2661/article/view/154933
- DOI: https://doi.org/10.1134/S0012266119010154
- ID: 154933
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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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