The upper semicontinuity of senior generalized Lyapunov exponents of systems of differential equations

We study Lyapunov's generalized exponent, i.e., Lyapunov's exponent in a more general scale, which are applied in investigation of asymptotic growth of the solutions of differential systems. We establish necessary and sufficient conditions of semicontinuity from above of senior generalized Lyapunov's exponent in a class of system of the differential equations.