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

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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.

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References

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia

    V. I. Kokushkin

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  1. V. I. Kokushkin
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Correspondence to V. I. Kokushkin.

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Kokushkin, V.I. Existence of a Right System whose Upper-Limit Central and General Indexes do not Coincide with Lower-Limit Ones. Moscow Univ. Math. Bull. 74, 83–86 (2019). https://doi.org/10.3103/S0027132219020098

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  • DOI: https://doi.org/10.3103/S0027132219020098

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