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Matematicheskie Trudy, 2014, Volume 17, Number 1, Pages 128–144 (Mi mt270)  
This article is cited in 1 scientific paper (total in 1 paper)

On the number of negative eigenvalues of a partial integral operator

R. R. Kucharov, Yu. Kh. Eshkabilov

National University of Uzbekistan named after M. Ulugbek, Faculty of Mathematics and Mechanics, Tashkent, Uzbekistan
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Abstract: We find the lower boundary for the essential spectrum of a Fredholm type partial integral operator $H$. We also obtain an estimate for the number of eigenvalues below this boundary.
Key words: essential spectrum, discrete spectrum, the lower boundary of the essential spectrum, Fredholm type partial integral operator.
Received: 14.05.2013
English version:
Siberian Advances in Mathematics, 2015, Volume 25, Issue 3, Pages 179–190
DOI: https://doi.org/10.3103/S1055134415030037
Bibliographic databases:
Document Type: Article
UDC: 517.984.53
Language: Russian
Citation: R. R. Kucharov, Yu. Kh. Eshkabilov, “On the number of negative eigenvalues of a partial integral operator”, Mat. Tr., 17:1 (2014), 128–144; Siberian Adv. Math., 25:3 (2015), 179–190
Citation in format AMSBIB
\Bibitem{KucEsh14}
\by R.~R.~Kucharov, Yu.~Kh.~Eshkabilov
\paper On the number of negative eigenvalues of a~partial integral operator
\jour Mat. Tr.
\yr 2014
\vol 17
\issue 1
\pages 128--144
\mathnet{http://mi.mathnet.ru/mt270}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3236364}
\transl
\jour Siberian Adv. Math.
\yr 2015
\vol 25
\issue 3
\pages 179--190
\crossref{https://doi.org/10.3103/S1055134415030037}
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    • 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 труды Siberian Advances in Mathematics
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