Existence of a right system whose upper-limit central and general indexes do not coincide with lower-limit ones

On the one hand, we show that the upper-limit analogues of Vinograd–Millionschikov central exponents determined on the space of regular linear differential systems are equal to lower-limit ones. A similar fact is also valid for analogues of Bohl–Persidsky general exponents on the space of almost reducible systems. On the other hand, we present an example of a two-dimensional regular differential system with piecewise continuous bounded coefficients having noncoinciding upper-limit and lower-limit central and general exponents.