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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2009, Issue 3, Pages 104–113 (Mi vuu30)  
This article is cited in 5 scientific papers (total in 5 papers)

MATHEMATICS

Quasi-levels of the discrete Schrödinger equation with a decreasing potential on a graph

T. S. Tinyukovaa, Yu. P. Chuburinb

a Udmurt State University
b Physical-Technical Institute of the Ural Branch of the Russian Academy of Sciences, Izhevsk
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Abstract: We consider the discrete Schrödinger operator perturbed by a decreasing potential of the form $\varepsilon V$ defined on a graph the nodes of which lie on the union of two intersected straight lines. We prove that non-vanishing quasi-levels do not exist in the neighbourhood of zero for a small $\varepsilon$.
Keywords: discrete Schrödinger equation, eigenvalue, resonance.
Received: 10.05.2009
Document Type: Article
UDC: 517.958:530.145.6
MSC: 81Q10, 81Q15
Language: Russian
Citation: T. S. Tinyukova, Yu. P. Chuburin, “Quasi-levels of the discrete Schrödinger equation with a decreasing potential on a graph”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, no. 3, 104–113
Citation in format AMSBIB
\Bibitem{TinChu09}
\by T.~S.~Tinyukova, Yu.~P.~Chuburin
\paper Quasi-levels of the discrete Schr\"odinger equation with a~decreasing potential on a~graph
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2009
\issue 3
\pages 104--113
\mathnet{http://mi.mathnet.ru/vuu30}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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