Identification of the polynomial in nonseparated boundary conditions by one eigenvalue
- Authors: Akhtyamov A.M.1,2, Kumushbaev R.R.1,2
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Affiliations:
- Institute of Mechanics
- Bashkir State University
- Issue: Vol 52, No 5 (2016)
- Pages: 672-675
- Section: Short Communications
- URL: https://journals.rcsi.science/0012-2661/article/view/153830
- DOI: https://doi.org/10.1134/S0012266116050128
- ID: 153830
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Abstract
We consider a spectral problem for an ordinary differential equation on a finite interval. The boundary conditions contain functions and a polynomial in the spectral parameter. We find a criterion for the unique reconstruction of this polynomial by one multiple eigenvalue. Related examples are presented.
About the authors
A. M. Akhtyamov
Institute of Mechanics; Bashkir State University
Author for correspondence.
Email: AkhtyamovAM@mail.ru
Russian Federation, Ufa; Ufa
R. R. Kumushbaev
Institute of Mechanics; Bashkir State University
Email: AkhtyamovAM@mail.ru
Russian Federation, Ufa; Ufa
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