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Oscillatory and nonoscillatory solution existence of semi - linear dynamic equations , where β gt ; α gt ; 0 , q (t ) ≥ 0 and q (t) ∈ C rd (T). Secondly, we make use of the Taylor formula on the time scale T , the asymptotic behavior of the high order neutral dynamic equations with variable coefficients and vibration , and sufficient condition for a series of vibration on the equation , where p ( t), q (t) ∈ C rd (T), p (t) bounded , p (t ) ≥ -1 or p (t ) ≤ -1 , q (t ) ≥ q gt; 0; σ, τ ∈ T, and σ GT ; 0 , τ ≥ 0 , and n is a positive integer .
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