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.
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
\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}
Linking options:
https://www.mathnet.ru/eng/jcem33
https://www.mathnet.ru/eng/jcem/v2/i4/p95
This publication is cited in the following 4 articles:
A. I. Sedov, “The use of the inverse problem of spectral analysis to forecast time series”, J. Comp. Eng. Math., 6:1 (2019), 74–78
Evgenii V. Kirillov, Galia A. Zakirova, 2018 International Russian Automation Conference (RusAutoCon), 2018, 1
S. I. Kadchenko, A. I. Kadchenko, G. A. Zakirova, S. I. Kadchenko, 2016 2nd International Conference on Industrial Engineering, Applications and Manufacturing (ICIEAM), 2016, 1
G. A. Zakirova, 2016 2nd International Conference on Industrial Engineering, Applications and Manufacturing (ICIEAM), 2016, 1
Citation in format AMSBIB
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