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

We study the generalized Lyapunov exponents, i.e., the Lyapunov exponents in a more general scale, and apply them for studying the asymptotics of the growth of solutions to differential systems. We obtain necessary and sufficient conditions for the upper semicontinuity of the senior generalized Lyapunov exponents in a class of systems of differential equations.