Oscillation of Third-Order Neutral Delay Differential Equations

Abstract

The purpose of this paper is to examine oscillatory properties of the third-order neutral delay differential equation $[a(t)(b(t)(x(t)+p(t)x(\sigma (t)))\prime )\prime ]\prime +q(t)x(\tau (t))=0$. Some oscillatory and asymptotic criteria are presented. These criteria improve and complement those results in the literature. Moreover, some examples are given to illustrate the main results.