Geodesic
Asymptotic behaviour of the discrete spectrum of a~quasi-periodic
Sbornik. Mathematics, Tome 200 (2009) no. 2, pp. 215-228

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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. 
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     author = {V. M. Kaplitskii},
     title = {Asymptotic behaviour of the discrete spectrum of a~quasi-periodic},
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V. M. Kaplitskii. Asymptotic behaviour of the discrete spectrum of a~quasi-periodic. Sbornik. Mathematics, Tome 200 (2009) no. 2, pp. 215-228. http://geodesic.mathdoc.fr/item/SM_2009_200_2_a2/