Baire Classes of Functionals on the Space of Linear Differential Systems

Resumo

We study the question about representing a functional on the space of linear differential systems in the form of k successive limits (k ∈ ℕ) of a sequence of functionals each of which defined by the restriction of the system to a finite interval (depending on the functional) of the time semiaxis. The case in which the functional is a Lyapunov invariant is considered separately.