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Oscillation Criteria for Third-order Emden-Fowler Delay Dynamic Equations on Time Scales
时间尺度上三阶Emden-Fowler动力方程的振动准则

Keywords: Third-orderzz,Delay dynamic equationszz,Time scaleszz
振动性
,三阶,时滞动力方程,时间尺度

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Abstract:

By means of Riccati transformation technique, the authors establish some new oscillation criteria for the third-order Emden-Fowler delay dynamic equations (a(t)(r(t)x? (t))? ) ?+p(t)xγ (τ(t)) = 0 on a time scales , where γ > 0 is a quotient of odd positive integers, a, r, p are real-valued T positive rd-continuous functions defined on . Some new oscillation results which deal with T some cases not covered by existing results in the literature are obtained. Some examples are considered to illustrate the main results.

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