RUS  ENG
Full version
JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019 Number 5, Pages 48–51 (Mi vmumm3627)

This article is cited in 4 papers

Short notes

Some properties of oscillation indicators of solutions to a two-dimensional system

A. Kh. Stash

Adyghe State University, Maikop

Abstract: It is proved that all strong exponents of oscillations considered as functionals on the set of solutions to linear homogeneous two-dimensional differential systems with continuous coefficients bounded on the semi-line are not residual (i.e. can be changed when changing solution on a finite interval). An example of two-dimensional system is provided with a solution that has all strong oscillation exponents differing from corresponding weak exponents.

Key words: linear differential system, solution variability, number of zeroes function, strong oscillation exponents, weak oscillation exponents.

UDC: 517.926

Received: 22.10.2018


 English version:
Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2019, 74:5, 202–204

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024