Matematičeskie zametki, Tome 21 (1977) no. 6, pp. 817-828
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N. A. Izobov. The transfer of the Lyapunov integral criterion to two-dimensional periodic systems of second order. Matematičeskie zametki, Tome 21 (1977) no. 6, pp. 817-828. http://geodesic.mathdoc.fr/item/MZM_1977_21_6_a8/
@article{MZM_1977_21_6_a8,
author = {N. A. Izobov},
title = {The transfer of the {Lyapunov} integral criterion to two-dimensional periodic systems of second order},
journal = {Matemati\v{c}eskie zametki},
pages = {817--828},
year = {1977},
volume = {21},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1977_21_6_a8/}
}
TY - JOUR
AU - N. A. Izobov
TI - The transfer of the Lyapunov integral criterion to two-dimensional periodic systems of second order
JO - Matematičeskie zametki
PY - 1977
SP - 817
EP - 828
VL - 21
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1977_21_6_a8/
LA - ru
ID - MZM_1977_21_6_a8
ER -
%0 Journal Article
%A N. A. Izobov
%T The transfer of the Lyapunov integral criterion to two-dimensional periodic systems of second order
%J Matematičeskie zametki
%D 1977
%P 817-828
%V 21
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1977_21_6_a8/
%G ru
%F MZM_1977_21_6_a8
Two possibilities of the transfer of the Lyapunov integral criterion [1, p. 203] (see also [2; 3, p. 177]) $\omega\int_0^\omega(\tau)\,d\tau\le4$ for the boundedness of all the solutions of the scalar equation $\ddot x+a(t)x=0$ with nonnegative $\omega$-periodic function $a(t)$ to the two-dimensional systems $\ddot x=A(t)x$ with piecewise continuous $\omega$-periodic matrix coefficients are indicated.
