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Matematicheskie Zametki, 2025, Volume 117, Issue 3, Pages 333–343
DOI: https://doi.org/10.4213/mzm14548 (Mi mzm14548) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Uniform stability of the Hochstadt–Lieberman problem

N. P. Bondarenkoabcd

a Saratov State University
b Samara National Research University
c Peoples' Friendship University of Russia named after Patrice Lumumba, Moscow
d Moscow Center for Fundamental and Applied Mathematics
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DOI: https://doi.org/10.4213/mzm14548
Abstract: The paper proves the uniform stability of the Hochstadt–Lieberman problem which consists in recovering the potential of the Sturm–Liouville operator on half the interval from the spectrum and the known potential on the other half of the interval. The proof method is based on the uniform stability of the direct and inverse Sturm–Liouville problems, of recovering a sine-type function from its zeros, and on the uniform boundedness of Riesz bases of sines and cosines.
Keywords: inverse spectral problem, half-inverse problem, uniform stability.
Funding agency Grant number
Russian Science Foundation 24-71-10003
This work was financially supported by the Russian Science Foundation, project no. 24-71-10003, https://rscf.ru/en/project/24-71-10003/.
Received: 16.10.2024
Published: 04.06.2025
English version:
Mathematical Notes, 2025, Volume 117, Issue 3, Pages 357–365
DOI: https://doi.org/10.1134/S0001434625030022
Bibliographic databases:
Document Type: Article
UDC: 517.984
MSC: 34A55 34B05 34B09 34L40
Language: Russian
Citation: N. P. Bondarenko, “Uniform stability of the Hochstadt–Lieberman problem”, Mat. Zametki, 117:3 (2025), 333–343; Math. Notes, 117:3 (2025), 357–365
Citation in format AMSBIB
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\by N.~P.~Bondarenko
\paper Uniform stability of the Hochstadt--Lieberman problem
\jour Mat. Zametki
\yr 2025
\vol 117
\issue 3
\pages 333--343
\mathnet{http://mi.mathnet.ru/mzm14548}
\crossref{https://doi.org/10.4213/mzm14548}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4920209}
\transl
\jour Math. Notes
\yr 2025
\vol 117
\issue 3
\pages 357--365
\crossref{https://doi.org/10.1134/S0001434625030022}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-105008236012}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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