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Sbornik: Mathematics, 2012, Volume 203, Issue 12, Pages 1785–1807
DOI: https://doi.org/10.1070/SM2012v203n12ABEH004287 (Mi sm7929) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Direct and inverse problems for an operator with nonlocal potential

V. A. Zolotarevab

a V. N. Karazin Kharkiv National University
b B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, Khar'kov
English version PDF (398 kB) Citations (11)
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DOI: https://doi.org/10.1070/SM2012v203n12ABEH004287
Abstract: The spectrum of a selfadjoint operator which is a one-dimensional perturbation of the second derivative operator on a finite interval is analysed. It is shown that all the components of the one-dimensional perturbation can be recovered from two spectra up to complex conjugation.
Bibliography: 13 titles.
Keywords: inverse spectral problem, one-dimensional perturbation of the second derivative operator.
Received: 09.09.2011 and 19.04.2012
Russian version:
Matematicheskii Sbornik, 2012, Volume 203, Number 12, Pages 105–128
DOI: https://doi.org/10.4213/sm7929
Bibliographic databases:
Document Type: Article
UDC: 517.983.248
MSC: 34B15, 34B25, 34L05
Language: English
Original paper language: Russian
Citation: V. A. Zolotarev, “Direct and inverse problems for an operator with nonlocal potential”, Mat. Sb., 203:12 (2012), 105–128; Sb. Math., 203:12 (2012), 1785–1807
Citation in format AMSBIB
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\transl
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\yr 2012
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\crossref{https://doi.org/10.1070/SM2012v203n12ABEH004287}
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  • https://www.mathnet.ru/eng/sm/v203/i12/p105
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:542
    Russian version PDF:188
    English version PDF:15
    References:82
    First page:42
     
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