Oscillation and Nonoscillation of a Class of Functional Equations

In this paper, we consider the following equation where p, Q_i : I → ℝ⁺ = (0, ∞), i = 1, 2, ..., m, I ⊂ (0, ∞) is an unbounded set, g : I → I, g(t) ≢ t, lim_t→∞ g(t) = ∞, t ∈ I, k ≥ 1 is a positive integer. Some oscillation and nonoscillation criteria are obtained.