On the exponential dichotomy of solutions of the Cauchy problem for a hyperbolic system on a plane

For the class of dynamical systems considered in the paper, we use the Lyapunov direct method to prove a sufficient criterion for the exponential dichotomy in the L (2)-norm. We derive equations of the subspaces realizing the dichotomy in the phase space coordinate system associated with the indefinite Hermitian form used to state the dichotomy criterion.