Oscillations of Third Order Half Linear Neutral Differential Equations

Abstract

In this paper the oscillation criterion was investigated for all solutions of the third-order half linear neutral differential equations. Some necessary and sufficient conditions are established for every solution of (a(t)[(x(t)±p(t)x(τ(t)) )^'' ]^γ )^'+q(t) x^γ (σ(t))=0, t≥t_0, to be oscillatory. Examples are given to illustrate our main results.