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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019 Number 2, Pages 53–57 (Mi vmumm616)

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

V. I. Kokushkin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: 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.

Key words: differential equations, linear system, central exponents, general exponents, right systems.

UDC: 517.926

Received: 11.06.2018


 English version:
Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2019, 74:2, 83–86

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