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Matematicheskie Zametki, 2017, Volume 101, Issue 5, Pages 643–646
DOI: https://doi.org/10.4213/mzm11549 (Mi mzm11549) 		 
This article is cited in 16 scientific papers (total in 16 papers)

On the Spectrum of an Odd-Order Differential Operator

A. M. Akhtyamov
Full-text PDF (393 kB) Citations (16)
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DOI: https://doi.org/10.4213/mzm11549
Abstract: Operators generated by a differential expression on a finite closed interval are considered. It is shown that, for any odd integer $n$, there exist differential operators of order $n$ whose spectrum fills the whole complex plane.
Keywords: eigenvalues, degenerate boundary conditions, odd-order differential equations.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-7461.2016.1
Russian Foundation for Basic Research 15-01-01095_а
17-41-020230-р_башкортостан_а
This work was supported by the Grants Council of the President of the Russian Federation (grant no. NSh-7461.2016.1) and by the Russian Foundation for Basic Research under grants no. 15-01-01095_a and no. 17-41-020230-r_bashkortostan_a.
Received: 04.02.2016
Revised: 27.09.2016
English version:
Mathematical Notes, 2017, Volume 101, Issue 5, Pages 755–758
DOI: https://doi.org/10.1134/S0001434617050017
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: A. M. Akhtyamov, “On the Spectrum of an Odd-Order Differential Operator”, Mat. Zametki, 101:5 (2017), 643–646; Math. Notes, 101:5 (2017), 755–758
Citation in format AMSBIB
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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