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

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017 Number 5, Pages 14–21 (Mi vmumm89)

This article is cited in 6 papers

Mathematics

Two-dimensional differential systems with arbitrary finite spectra of wandering exponent

E. M. Shishlyannikov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: We construct a two-dimensional linear homogeneous differential system with piecewise continuous bounded coefficients whose set of all wanderability indicator values at various solutions consists of zero and previously given finite set of positive numbers, and all those values are essential.

Key words: differential equation, linear system, wanderability of solution, characteristic exponents.

UDC: 517.926

Received: 23.12.2016


 English version:
Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2017, 72:5, 192–198

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