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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
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
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
Linking options:
https://www.mathnet.ru/eng/sm4111https://doi.org/10.1070/SM2009v200n02ABEH003992 https://www.mathnet.ru/eng/sm/v200/i2/p61
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Abstract page: | 925 | Russian version PDF: | 221 | English version PDF: | 9 | References: | 113 | First page: | 71 |
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