Existence of a Right System whose Upper-Limit Central and General Indexes do not Coincide with Lower-Limit Ones

Abstract

On the one hand, we show that the upper-limit analogues of Vinograd-Millionshchikov 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 bounded piecewise continuous coefficients having noncoinciding upper-limit and lower-limit central and general exponents.