Consider the second-order nonlinear dynamic equation [r(t)x ∆ (ρ(t))] ∆ + p(t)f (x(t)) = 0, where p(t) is the backward jump operator. We obtain a Kwong-Wong-type integral equation, that is: If x(t) is a nonoscillatory solution of the above equation on [T 0 , ∞), then the integral equation r σ (t)x ∆ (t) f (x σ (t)) = P σ (t) + Z ∞ σ(t) r σ (s)[ R 1 0 f (x h (s))dh][x ∆ (s)] 2 f (x(s))f (x σ (s)) ∆s is satisfied for t ≥ T 0 , where P σ (t) = R ∞ σ(t) p(s)∆s, and x h (s) = x(s) + hµ(s)x ∆ (s). As

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... an application, we show that the superlinear dynamic equation [r(t)x ∆ (ρ(t))] ∆ + p(t)f (x(t)) = 0, is oscillatory, under certain conditions.