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Matematicheskie Zametki, 2021, Volume 109, Issue 1, Pages 82–100
DOI: https://doi.org/10.4213/mzm12837 (Mi mzm12837) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On Recovering the Sturm–Liouville Differential Operators on Time Scales

M. A. Kuznetsova

Saratov State University
Full-text PDF (588 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm12837
Abstract: We study Sturm–Liouville differential operators on the time scales consisting of a finite number of isolated points and closed intervals. In the author's previous paper, it was established that such operators are uniquely determined by the spectral characteristics of all classical types. In the present paper, an algorithm for their recovery based on the method of spectral mappings is obtained. We also prove that the eigenvalues of two Sturm–Liouville boundary-value problems on time scales with one common boundary condition alternate.
Keywords: inverse spectral problems, time scales, closed sets, differential operators, Sturm–Liouville equations.
Funding agency Grant number
Russian Science Foundation 19-71-00009
This work was supported by the Russian Science Foundation under grant 19-71-00009.
Received: 16.07.2020
English version:
Mathematical Notes, 2021, Volume 109, Issue 1, Pages 74–88
DOI: https://doi.org/10.1134/S0001434621010090
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: M. A. Kuznetsova, “On Recovering the Sturm–Liouville Differential Operators on Time Scales”, Mat. Zametki, 109:1 (2021), 82–100; Math. Notes, 109:1 (2021), 74–88
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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