Matematičeskie zametki, Tome 23 (1978) no. 2, pp. 249-252
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I. V. Kamenev. An integral criterion for oscillation of linear differential equations of second order. Matematičeskie zametki, Tome 23 (1978) no. 2, pp. 249-252. http://geodesic.mathdoc.fr/item/MZM_1978_23_2_a7/
@article{MZM_1978_23_2_a7,
author = {I. V. Kamenev},
title = {An integral criterion for oscillation of linear differential equations of second order},
journal = {Matemati\v{c}eskie zametki},
pages = {249--252},
year = {1978},
volume = {23},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1978_23_2_a7/}
}
TY - JOUR
AU - I. V. Kamenev
TI - An integral criterion for oscillation of linear differential equations of second order
JO - Matematičeskie zametki
PY - 1978
SP - 249
EP - 252
VL - 23
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1978_23_2_a7/
LA - ru
ID - MZM_1978_23_2_a7
ER -
%0 Journal Article
%A I. V. Kamenev
%T An integral criterion for oscillation of linear differential equations of second order
%J Matematičeskie zametki
%D 1978
%P 249-252
%V 23
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1978_23_2_a7/
%G ru
%F MZM_1978_23_2_a7
It is proved that if for some $n>2$ the function $x^{1-n}A_n(x)$, where $A_n(x)$ is the $n$-th primitive of $a(x)$, is not bounded above, then the equation $y''+a(x)y=0$ oscillates.
