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Matematicheskie Zametki, 1969, Volume 6, Issue 6, Pages 681–692 (Mi mzm6977)  

This article is cited in 2 scientific papers (total in 2 papers)

On a boundary problem generated by a self-adjoint Sturm–Liouville differential operator on the entire real axis

M. M. Gekhtmana, I. V. Stankevichb

a Daghestan State University
b Institute of Organoelement Compounds of the USSR Academy of Sciences
Full-text PDF (769 kB) Citations (2)
Abstract: In Hilbert space $L^2(0,a)$, $0<a<infty$, we consider the spectral problem generated by a Sturm–Liouville operator with real potential and boundary conditions which depend on the spectral parameter. The paper investigates the spectrum and the questions connected with the completeness of the system of eigenfunctions.
Received: 26.04.1968
English version:
Mathematical Notes, 1969, Volume 6, Issue 6, Pages 873–879
DOI: https://doi.org/10.1007/BF01146407
Bibliographic databases:
UDC: 513.88
Language: Russian
Citation: M. M. Gekhtman, I. V. Stankevich, “On a boundary problem generated by a self-adjoint Sturm–Liouville differential operator on the entire real axis”, Mat. Zametki, 6:6 (1969), 681–692; Math. Notes, 6:6 (1969), 873–879
Citation in format AMSBIB
\Bibitem{GekSta69}
\by M.~M.~Gekhtman, I.~V.~Stankevich
\paper On a~boundary problem generated by a~self-adjoint Sturm--Liouville differential operator on the entire real axis
\jour Mat. Zametki
\yr 1969
\vol 6
\issue 6
\pages 681--692
\mathnet{http://mi.mathnet.ru/mzm6977}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=259220}
\zmath{https://zbmath.org/?q=an:0206.37503}
\transl
\jour Math. Notes
\yr 1969
\vol 6
\issue 6
\pages 873--879
\crossref{https://doi.org/10.1007/BF01146407}
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  • https://www.mathnet.ru/eng/mzm/v6/i6/p681
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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