On the oscillation of higher-order half-linear delay differential equations

In this note, we study the oscillatory behavior of the following higher-order half-linear delay differential equation (r(t)(x(n−1)(t))α)′+q(t)xβ(τ(t))=0,t≥t0, where we assume ∫t0∞1r1/α(t)dt<∞. An example is given to illustrate the main results.