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Consider the third order nonlinear dynamic equation
, (*)
on a time scale which is unbounded above. The function f ∈ C(,) is assumed to satisfy xf(x) > 0 for x ≠ 0 and be nondecreasing. We study the oscillatory behaviour of solutions of (*). As an application, we find that the nonlinear difference equation
,
where α ≥ -1, γ > 0, c > 3, is oscillatory.
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