Oscillation criteria of second order nonlinear neutral differential equations with damping terms

The purpose of this paper is to establish some new oscillation criteria for the second-order nonlinear neutral differential equations with damping terms which have the form [a(t)|z'(t)|α-1z'(t)]'+b(t)|z'(t)|α-1z'(t)+q(t)|x(σ(t))|β-1x(σ(t))=0, where z(t)=x(t)+p(t)x(τ(t)). Our theorems improve, extent and unify a number of related results reported in the literature. The wide application of the obtained criteria is illustrated via examples.