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Nanosystems: Physics, Chemistry, Mathematics, 2013, Volume 4, Issue 4, Pages 529–537 (Mi nano790)  
Efimov's effect for partial integral operators of fredholm type

Yu. Kh. Èshkabilov, R. R. Kucharov

Department of Mechanics and Mathematics, National University of Uzbekistan, Tashkent, Uzbekistan
Full-text PDF (210 kB)
URL: https://nanojournal.ifmo.ru/en/articles-2/volume4/4-4/contributed-talks/paper10
Abstract: We study the existence of an infinite number of eigenvalues (the existence of Efimov's effect) for a self-adjoint partial integral operators. We prove a theorem on the necessary and sufficient conditions for the existence of Efimov's effect for the Fredholm type partial integral operators.
Keywords: essential spectrum, discrete spectrum, Efimov's effect, partial integral operator.
Bibliographic databases:
Document Type: Article
PACS: 02.30.Tb
Language: English
Citation: Yu. Kh. Èshkabilov, R. R. Kucharov, “Efimov's effect for partial integral operators of fredholm type”, Nanosystems: Physics, Chemistry, Mathematics, 4:4 (2013), 529–537
Citation in format AMSBIB
\Bibitem{EshKuc13}
\by Yu.~Kh.~\`Eshkabilov, R.~R.~Kucharov
\paper Efimov's effect for partial integral operators of fredholm type
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2013
\vol 4
\issue 4
\pages 529--537
\mathnet{http://mi.mathnet.ru/nano790}
\elib{https://elibrary.ru/item.asp?id=20172524 }
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