Oscillation results of higher order nonlinear neutral delay differential equations

Abstract

In this paper we investigate the oscillation and asymptotic behavior of solutions to the n-th order neutral nonlinear differential equations of the form \begin{equation*} \left[ x(t) +g\left( t, x(\tau( t))\right) \right] ^{(n) }+f( t,x(\sigma(t))) =0. \end{equation*}

Keywords

• oscillation
• asymptotic behavior
• neutral differential equations
• nonlinear
• higher order
• eventually positive solution