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Sbornik: Mathematics, 2009, Volume 200, Issue 2, Pages 215–228
DOI: https://doi.org/10.1070/SM2009v200n02ABEH003992 (Mi sm4111) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Asymptotic behaviour of the discrete spectrum of a quasi-periodic boundary value problem for a two-dimensional hyperbolic equation

V. M. Kaplitskiiab

a Institute of Applied Mathematics and Informatics, Vladikavkaz Scientific Centre, RAS
b Southern Federal University, Faculty of Mathematics, Mechanics and Computer Sciences
English version PDF (269 kB) Citations (3)
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DOI: https://doi.org/10.1070/SM2009v200n02ABEH003992
Abstract: This paper is concerned with the asymptotic properties of the discrete spectrum of two-dimensional self-adjoint operators of hyperbolic type. For the operator of the model quasi-periodic boundary value problem associated with a self-adjoint hyperbolic equation with smooth coefficients on a two-dimensional torus we obtain an asymptotic formula for the distribution function of the eigenvalues.
Bibliography: 9 titles.
Keywords: two-dimensional hyperbolic equation, quasi-periodic boundary value problem, spectrum, distribution of eigenvalues.
Received: 21.11.2007
Russian version:
Matematicheskii Sbornik, 2009, Volume 200, Number 2, Pages 61–74
DOI: https://doi.org/10.4213/sm4111
Bibliographic databases:
UDC: 517.984.56
MSC: Primary 34L20; Secondary 35L20
Language: English
Original paper language: Russian
Citation: V. M. Kaplitskii, “Asymptotic behaviour of the discrete spectrum of a quasi-periodic boundary value problem for a two-dimensional hyperbolic equation”, Mat. Sb., 200:2 (2009), 61–74; Sb. Math., 200:2 (2009), 215–228
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v200/i2/p61
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:925
    Russian version PDF:221
    English version PDF:9
    References:113
    First page:71
     
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