Behavior of the solution of the Cauchy problem for an inhomogeneous hyperbolic equation with periodic coefficients
Hovik A. Matevossian, Anatolii V. Vestyak · Journal of Physics Conference Series · 2017
We study the asymptotic behavior of the solution u ( x , t ) of the Cauchy problem for a one-dimensional second-order hyperbolic equation with periodic coefficients (as t → ∞ ) in which the initial data are zero, and the right-hand side of the equation has the form f ( x ) exp (− iωt ), where ω is real.