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Matematicheskie Zametki, 1978, Volume 23, Issue 5, Pages 709–720 (Mi mzm9999)  

This article is cited in 5 scientific papers (total in 5 papers)

Determination of the infinite Jacobi matrix with respect to two-spectra

G. Sh. Guseinov

Scientific-Research Computer Center of the Azerbaidzhan State University
Abstract: The inverse problem about two-spectra for the equation
\begin{gather*} b_0y_0+a_0y_1=\lambda y_0,\\ a_{n-1}y_{n-1}+b_ny_n+a_ny_{n+1}=\lambda y_n\qquad (n=1,2,3,\dots),\tag{1} \end{gather*}
where $\{y_n\}_0^\infty$ is the desired solution, $\lambda$ is a complex parameter and
$$ a_n>0, \quad\mathrm{Im}\,b_n=0,\qquad (n=0,1,2,\dots) $$
is studied. Necessary and sufficient conditions for the solvability of the inverse problem about two-spectra for Eq. (1) are established and also the procedure of reconstruction of the equation from its two-spectra is indicated.
Received: 23.04.1977
English version:
Mathematical Notes, 1978, Volume 23, Issue 5, Pages 391–398
DOI: https://doi.org/10.1007/BF01789006
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: G. Sh. Guseinov, “Determination of the infinite Jacobi matrix with respect to two-spectra”, Mat. Zametki, 23:5 (1978), 709–720; Math. Notes, 23:5 (1978), 391–398
Citation in format AMSBIB
\Bibitem{Gus78}
\by G.~Sh.~Guseinov
\paper Determination of the infinite Jacobi matrix with respect to two-spectra
\jour Mat. Zametki
\yr 1978
\vol 23
\issue 5
\pages 709--720
\mathnet{http://mi.mathnet.ru/mzm9999}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=499269}
\zmath{https://zbmath.org/?q=an:0495.39007}
\transl
\jour Math. Notes
\yr 1978
\vol 23
\issue 5
\pages 391--398
\crossref{https://doi.org/10.1007/BF01789006}
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  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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