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.