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

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021 Number 4, Pages 51–55 (Mi vmumm4418)

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Simplification of the calculation of characteristic frequencies over nonuniform scales

A. N. Korolev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The possibility of simplifying the calculation of Lyapunov-type oscillation indices using non-uniform time scales is studied. For solutions of linear homogeneous second-order differential equations, slowly growing scales and only they provide such an opportunity.

Key words: differential equations, oscillation, characteristic frequencies, time scales.

UDC: 517.926.4

Received: 24.06.2020


 English version:
Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2021, 76:4, 181–185

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© Steklov Math. Inst. of RAS, 2026