Oscillation of third-order neutral differential equations

The objective of this paper is to study asymptotic properties of the couple of third-order neutral differential equations equation(E±E±)[a(t)([x(t)±p(t)x(δ(t))]″)γ]′+q(t)xγ(τ(t))=0,t≥t0, where a(t)a(t), q(t)q(t), p(t)p(t) are positive functions, γ>0γ>0 is a quotient of odd positive integers and τ(t)≤tτ(t)≤t, δ(t)≤tδ(t)≤t. We will establish some sufficient conditions which ensure that all nonoscillatory solutions of (E±)(E±) converge to zero. Some examples are considered to illustrate the main results.