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Journal of Computational and Engineering Mathematics, 2015, Volume 2, Issue 4, Pages 95–99
DOI: https://doi.org/10.14529/jcem150410
(Mi jcem33)
 

This article is cited in 4 scientific papers (total in 4 papers)

Computational Mathematics

The existence of solution of the inverse spectral problem for discrete self-adjoint semi-bounded from below operator

G. A. Zakirova, E. V. Kirillov

South Ural State University, Chelyabinsk, Russian Federation
Full-text PDF (391 kB) Citations (4)
References:
Abstract: Inverse spectral problems have many applications in engineering and physics. It was investigated for a variety of tasks specific operators. In this article explores the inverse spectral problem for abstract discrete self-adjoint semi-bounded from below operator. Using the resolvent method and principle of the contraction mapping theorem of the existence of the inverse problem solution is proved.
Keywords: perturbed operator, discrete self-adjoint operator, potential.
Received: 29.11.2015
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 35A01, 35E15, 35Q19
Language: English
Citation: G. A. Zakirova, E. V. Kirillov, “The existence of solution of the inverse spectral problem for discrete self-adjoint semi-bounded from below operator”, J. Comp. Eng. Math., 2:4 (2015), 95–99
Citation in format AMSBIB
\Bibitem{ZakKir15}
\by G.~A.~Zakirova, E.~V.~Kirillov
\paper The existence of solution of the inverse spectral problem for discrete self-adjoint semi-bounded from below operator
\jour J. Comp. Eng. Math.
\yr 2015
\vol 2
\issue 4
\pages 95--99
\mathnet{http://mi.mathnet.ru/jcem33}
\crossref{https://doi.org/10.14529/jcem150410}
\elib{https://elibrary.ru/item.asp?id=25482805}
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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
    Journal of Computational and Engineering Mathematics
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    Full-text PDF :66
    References:83
     
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