@Article{Elabbasy2012, author = "Elabbasy, Elmetwally M. and Hassan, T. S. and Moaaz, O.", title = "Oscillation behavior of second order nonlinear neutral differential equations with deviating arguments", journal = "Opuscula Math.", year = "2012", volume = "32", number = "4", pages = "719--730", doi = "http://dx.doi.org/10.7494/OpMath.2012.32.4.719", url = "http://dx.doi.org/10.7494/OpMath.2012.32.4.719", abstract = "Oscillation criteria are established for second order nonlinear neutral differential equations with deviating arguments of the form \[r(t)\psi(x(t))|z'(t)|^{\alpha -1} z'(t)+ \int_a^b q(t,\xi)f(x(g(t,\phi)))d\sigma (\xi) =0,\quad t\gt t_0,\] where \(\alpha \gt 0\) and \(z(t)= x(t)+p(t)x(t-\tau)\). Our results improve and extend some known results in the literature. Some illustrating examples are also provided to show the importance of our results.", keywords = "oscillation, second order, neutral differential equations, deviating arguments", issn = "1232-9274" }