A blow-up result for a viscoelastic system in .
A nonlinear boundary value problem for a system of hyperbolic partial differential equations.
An analytic method for the initial value problem of the electric field system in vertical inhomogeneous anisotropic media
The time-dependent system of partial differential equations of the second order describing the electric wave propagation in vertically inhomogeneous electrically and magnetically biaxial anisotropic media is considered. A new analytical method for solving an initial value problem for this system is the main object of the paper. This method consists in the following: the initial value problem is written in terms of Fourier images with respect to lateral space variables, then the resulting problem...