Asymptotic Behavior of Solutions of the Cauchy Problem for a Hyperbolic Equation with Periodic Coefficients II

The paper is devoted to studying the behavior of solutions Cauchy problem for large values time—more precisely, obtaining an asymptotic expansion characterizing solution a one-dimensional second-order hyperbolic equation with periodic coefficients time parameter t. To obtain this as t→∞, methods spectral theory differential operators are used, well properties spectrum non-positive Hill operator coefficients.