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Eurasian Mathematical Journal, 2011, Volume 2, Number 3, Pages 67–81 (Mi emj62)  

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

On continuity of the spectrum of a singular quasi-differential operator with respect to a parameter

Kh. K. Ishkin

Department of Mechanics and Mathematics, Bashkir State University, Ufa, Bashkortostan
Full-text PDF (448 kB) Citations (2)
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Abstract: We obtain sufficient conditions for continuity of the eigenvalues of semibounded quasi-differential operators of order $2n$ on the half-axis with respect to the parameters that appear in the corresponding differential expression. In addition we obtain a generalization of the well-known result of M. G. Krein [9] concerning description of the quadratic form of a regular quasi-differential operator in the singular case, when the deficiency indices of the minimal operator are equal to $(n,n)$.
Keywords and phrases: quadratic form of a quasi-differential operators, continuity of eigenvalues with respect to parameters.
Received: 25.01.2011
Bibliographic databases:
Document Type: Article
Language: English
Citation: Kh. K. Ishkin, “On continuity of the spectrum of a singular quasi-differential operator with respect to a parameter”, Eurasian Math. J., 2:3 (2011), 67–81
Citation in format AMSBIB
\Bibitem{Ish11}
\by Kh.~K.~Ishkin
\paper On continuity of the spectrum of a~singular quasi-differential operator with respect to a~parameter
\jour Eurasian Math. J.
\yr 2011
\vol 2
\issue 3
\pages 67--81
\mathnet{http://mi.mathnet.ru/emj62}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2910841}
\zmath{https://zbmath.org/?q=an:1273.47075}
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  • https://www.mathnet.ru/eng/emj/v2/i3/p67
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Eurasian Mathematical Journal
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