ON RIEMANN'S METHOD FOR THE DISCRETE ANALOGUE OF ASECOND-ORDER HYPERBOLIC EQUATION

In this paper is considered the Cauchy problem for a discrete analogue of a secondorder hyperbolic equation with a periodic coefficient.Using the eigenfunctions of the discrete Hill equation, the Riemann function of a discrete analogue of a second-order hyperbolic equation is constructed.A representation of the solution to the Cauchy problem through Riemann functions is found.