This paper focuses on the oscillatory properties of the semi-canonical nonlinear delay differential equation of third-order
(δ₂(t)(δ₁(t)ζ′(t))′)^{′α}(τ(t))=0, t≥t₀,
under the conditions
∫_{t₀}^{∞}(1/(δ₂(t)))dt=∞ and ∫_{t₀}^{∞}(1/(δ₁(t)))dt
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