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Matematicheskie Zametki, 2019, Volume 105, Issue 2, Pages 313–320
DOI: https://doi.org/10.4213/mzm11854 (Mi mzm11854) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On the Inverse Problem for Differential Operators on a Finite Interval with Complex Weights

V. A. Yurko

Saratov State University
Full-text PDF (451 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm11854
Abstract: Inverse problems of spectral analysis for second-order differential operators on a finite interval with complex-valued weights and with an arbitrary number of discontinuity conditions for the solutions inside the interval are studied. Properties of the spectral characteristics are established, and uniqueness theorems for this class of inverse problems are proved.
Keywords: Sturm–Liouville operators, complex weights, inverse spectral problems.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00015
17-51-53180
Ministry of Education and Science of the Russian Federation 1.1660.2017/4.6
This work was supported by the Ministry of Education and Science of the Russian Federation (grant no. 1.1660.2017/4.6) and by the Russian Foundation for Basic Research under grants 16-01-00015 and 17-51-53180.
Received: 08.11.2017
English version:
Mathematical Notes, 2019, Volume 105, Issue 2, Pages 301–306
DOI: https://doi.org/10.1134/S0001434619010334
Bibliographic databases:
Document Type: Article
UDC: 517.984
PACS: 34A55 34B24 34L05 47E05
Language: Russian
Citation: V. A. Yurko, “On the Inverse Problem for Differential Operators on a Finite Interval with Complex Weights”, Mat. Zametki, 105:2 (2019), 313–320; Math. Notes, 105:2 (2019), 301–306
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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