We present new criteria for all nonoscillatory solutions of the third-order functional differential equation\begin{equation*}\left[r(t)\left[x'(t)\right]^{\gamma}\right]'' +p(t) x^{\beta}(\tau(t))=0\end{equation*}tend to zero. Our results are based on the suitable comparison theorems. We consider both delay and advanced case of studied equation. The results obtainedessentially improve and complement earlier ones.
@article{205,
title = {Asymptotic properties of third-order nonlinear differential equations},
journal = {Tatra Mountains Mathematical Publications},
volume = {55},
year = {2013},
doi = {10.2478/tatra.v54i0.205},
language = {EN},
url = {http://dml.mathdoc.fr/item/205}
}
Baculíková, Blanka; Dzurina, Jozef. Asymptotic properties of third-order nonlinear differential equations. Tatra Mountains Mathematical Publications, Tome 55 (2013) . doi : 10.2478/tatra.v54i0.205. http://gdmltest.u-ga.fr/item/205/