Some properties of oscillation indicators of solutions to a two-dimensional system
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2019), pp. 48-51
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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.
@article{VMUMM_2019_5_a8,
author = {A. Kh. Stash},
title = {Some properties of oscillation indicators of solutions to a two-dimensional system},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {48--51},
publisher = {mathdoc},
number = {5},
year = {2019},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2019_5_a8/}
}
TY - JOUR AU - A. Kh. Stash TI - Some properties of oscillation indicators of solutions to a two-dimensional system JO - Vestnik Moskovskogo universiteta. Matematika, mehanika PY - 2019 SP - 48 EP - 51 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMUMM_2019_5_a8/ LA - ru ID - VMUMM_2019_5_a8 ER -
A. Kh. Stash. Some properties of oscillation indicators of solutions to a two-dimensional system. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2019), pp. 48-51. http://geodesic.mathdoc.fr/item/VMUMM_2019_5_a8/