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Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2004, Issue 1(29), Pages 85–94 (Mi iimi236)  

This article is cited in 6 scientific papers (total in 6 papers)

On levels of the one-dimensional discrete Schrödinger operator with a decreasing small potential

L. E. Morozova, Yu. P. Chuburin

Udmurt State University, Izhevsk
Full-text PDF (190 kB) Citations (6)
References:
Abstract: We consider a one-dimensional discrete Schrödinger operator with a decreasing small potential. The existence of the unique level (eigenvalue or resonanse) near the boundary points $\pm 2$ of the essential spectrum is proved. We investigate the asymptotic behaviour of these levels.
Document Type: Article
UDC: 517.958:530.145.6
Language: Russian
Citation: L. E. Morozova, Yu. P. Chuburin, “On levels of the one-dimensional discrete Schrödinger operator with a decreasing small potential”, Izv. IMI UdGU, 2004, no. 1(29), 85–94
Citation in format AMSBIB
\Bibitem{MorChu04}
\by L.~E.~Morozova, Yu.~P.~Chuburin
\paper On levels of the one-dimensional discrete Schr\"odinger operator with a decreasing small potential
\jour Izv. IMI UdGU
\yr 2004
\issue 1(29)
\pages 85--94
\mathnet{http://mi.mathnet.ru/iimi236}
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  • https://www.mathnet.ru/eng/iimi236
  • https://www.mathnet.ru/eng/iimi/y2004/i1/p85
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Института математики и информатики Удмуртского государственного университета
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    References:87
     
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