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This article is cited in 37 scientific papers (total 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.
Received: 23.11.1976
Citation:
I. V. Kamenev, “An integral criterion for oscillation of linear differential equations of second order”, Mat. Zametki, 23:2 (1978), 249–252; Math. Notes, 23:2 (1978), 136–138
Linking options:
https://www.mathnet.ru/eng/mzm8138 https://www.mathnet.ru/eng/mzm/v23/i2/p249
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Abstract page: | 326 | Full-text PDF : | 162 | First page: | 1 |
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