On the behavior of Lyapunov exponents of discrete linear time-varying systems under exponentially decreasing perturbations of its coefficients

In the paper the influence of the exponential decreasing perturbations of the coefficients on the Lyapunov exponents of discrete linear time-varying system is studied. We present a general - analogical to Perron - example used to different types of dynamical systems. Construction of this example is used to proving the main theorem of this paper. Corollary 1 shows that the type of distribution of Lyapunov exponents of the equation under exponentially decreasing perturbations of its coefficients can be changed with any other.