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JOURNALS
// Matematicheskie Zametki
// Archive
Mat. Zametki,
1978
Volume 23,
Issue 2,
Pages
249–252
(Mi mzm8138)
This article is cited in
37
papers
An integral criterion for oscillation of linear differential equations of second order
I. V. Kamenev
Moscow Institute of Electronic Engineering
Abstract:
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.
UDC:
517.9
Received:
23.11.1976
Fulltext:
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English version:
Mathematical Notes, 1978,
23
:2,
136–138
Bibliographic databases:
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