Email this article Spectral problem for a triple differentiation operator with asymmetric weight
- Authors: Jumabayev S.A.1,2, Nurakhmetov D.B.1,2
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Affiliations:
- Academy of Public Administration under the President of the Republic of Kazakhstan
- Saken Seifullin Kazakh Agrotechnical University
- Issue: Vol 53, No 5 (2017)
- Pages: 704-707
- Section: Short Communications
- URL: https://journal-vniispk.ru/0012-2661/article/view/154410
- DOI: https://doi.org/10.1134/S0012266117050147
- ID: 154410
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Abstract
We study the spectrum of a class of two-point boundary value problems for an ordinary differential operator of triple differentiation with weight. We show that the spectrum of a problem with asymmetric weight and with periodic boundary conditions fills the entire complex plane. We present an example of a problem with asymmetric weight to which one cannot assign a given spectrum by changing only one of the boundary conditions.
About the authors
S. A. Jumabayev
Academy of Public Administration under the President of the Republic of Kazakhstan; Saken Seifullin Kazakh Agrotechnical University
Author for correspondence.
Email: ser_jum@inbox.ru
Kazakhstan, Astana, 010000; Astana, 010011
D. B. Nurakhmetov
Academy of Public Administration under the President of the Republic of Kazakhstan; Saken Seifullin Kazakh Agrotechnical University
Email: ser_jum@inbox.ru
Kazakhstan, Astana, 010000; Astana, 010011
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