Geodesic
Existence of a right system whose upper-limit central and general indexes do not coincide with lower-limit ones
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2019), pp. 53-57

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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. 
@article{VMUMM_2019_2_a10,
     author = {V. I. Kokushkin},
     title = {Existence of a right system whose upper-limit central and general indexes do not coincide with lower-limit ones},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {53--57},
     publisher = {mathdoc},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2019_2_a10/}
}
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V. I. Kokushkin. Existence of a right system whose upper-limit central and general indexes do not coincide with lower-limit ones. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2019), pp. 53-57. http://geodesic.mathdoc.fr/item/VMUMM_2019_2_a10/