Oscillation theorems for second order advanced neutral differential equations
Džurina, Jozef
Tatra Mountains Mathematical Publications, Tome 49 (2011), / Harvested from Mathematical Institute

The aim of this paper is to study the oscillation of the second order advanced neutraldifferentialequations%\begin{equation*}\left(r(t)\left[x(t)+p(t)x(\tau(t))\right]'\right)'+q(t)x(\sigma(t))=0.  \tag{$E$}\end{equation*}%Obtained results are based on the new comparison theorems, thatenable us to reduce problem of the oscillation of the second orderequation to the the oscillation of the first order equations.Obtained comparison principles essentially simplify theexamination of the studied equations.

Publié le : 2011-01-01
DOI : https://doi.org/10.2478/tatra.v48i0.97
@article{97,
     title = {Oscillation theorems for  second order advanced neutral differential equations},
     journal = {Tatra Mountains Mathematical Publications},
     volume = {49},
     year = {2011},
     doi = {10.2478/tatra.v48i0.97},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/97}
}
Džurina, Jozef. Oscillation theorems for  second order advanced neutral differential equations. Tatra Mountains Mathematical Publications, Tome 49 (2011) . doi : 10.2478/tatra.v48i0.97. http://gdmltest.u-ga.fr/item/97/