Our aim in this paper is to obtain a new oscillation criterion for equation \[ y^{\prime \prime \prime }+ p(t)y^{\prime } + q(t)y = 0 \] with a nonnegative coefficients which extends and improves some oscillation criteria for this equation. In the special case of equation (*), namely, for equation $ y^{\prime \prime \prime }+ q(t)y = 0$, our results solve the open question of $Chanturiya$.
@article{107535,
author = {Anton \v Skerl\'\i k},
title = {An integral condition of oscillation for equation $y'''+p(t)y'+q(t)y=0$ with nonnegative coefficients},
journal = {Archivum Mathematicum},
volume = {031},
year = {1995},
pages = {155-161},
zbl = {0843.34039},
mrnumber = {1357983},
language = {en},
url = {http://dml.mathdoc.fr/item/107535}
}
Škerlík, Anton. An integral condition of oscillation for equation $y'''+p(t)y'+q(t)y=0$ with nonnegative coefficients. Archivum Mathematicum, Tome 031 (1995) pp. 155-161. http://gdmltest.u-ga.fr/item/107535/
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