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Matematicheskie Zametki, 1975, Volume 17, Issue 4, Pages 631–638 (Mi mzm7582)  

This article is cited in 1 scientific paper (total in 1 paper)

Multiplicity of the spectrum of a self-adjoint ordinary differential operator of odd order

V. I. Filippenko

Ul'yanovsk Pedagogical Institute
Full-text PDF (496 kB) Citations (1)
Abstract: A bound is obtained for the multiplicity of the spectrum of the self-adjoint operator generated by a singular ordinary differential operatorell of odd order in the Hubert space $\mathscr L^2(a,b)$ in terms of solutions of the differential equationel $l[y]=\lambda y$.
Received: 01.07.1974
English version:
Mathematical Notes, 1975, Volume 17, Issue 4, Pages 375–379
DOI: https://doi.org/10.1007/BF01105391
Bibliographic databases:
UDC: 517.91
Language: Russian
Citation: V. I. Filippenko, “Multiplicity of the spectrum of a self-adjoint ordinary differential operator of odd order”, Mat. Zametki, 17:4 (1975), 631–638; Math. Notes, 17:4 (1975), 375–379
Citation in format AMSBIB
\Bibitem{Fil75}
\by V.~I.~Filippenko
\paper Multiplicity of the spectrum of a~self-adjoint ordinary differential operator of odd order
\jour Mat. Zametki
\yr 1975
\vol 17
\issue 4
\pages 631--638
\mathnet{http://mi.mathnet.ru/mzm7582}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=399563}
\zmath{https://zbmath.org/?q=an:0326.47046}
\transl
\jour Math. Notes
\yr 1975
\vol 17
\issue 4
\pages 375--379
\crossref{https://doi.org/10.1007/BF01105391}
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  • https://www.mathnet.ru/eng/mzm/v17/i4/p631
  • This publication is cited in the following 1 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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