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Oscillation for a Class of Second-Order Emden-Fowler Delay Dynamic Equations on Time Scales

机译:时间尺度上一类二阶Emden-Fowler时滞动力方程的振动性

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By means of Riccati transformation technique, we establish some new oscillation criteria for the second-order Emden-Fowler delay dynamic equations on a time scale ; here is a quotient of odd positive integers with and as real-valued positive rd-continuous functions defined on . Our results in this paper not only extend the results given in Agarwal et al. (2005), Akin-Bohner et al. (2007) and Han et al. (2007) but also unify the results about oscillation of the second-order Emden-Fowler delay differential equation and the second-order Emden-Fowler delay difference equation.
机译:通过Riccati变换技术,我们在时间尺度上为二阶Emden-Fowler时滞动力学方程建立了一些新的振动准则。这是的奇数正整数与的实商正rd连续函数的商。我们在本文中的结果不仅扩展了Agarwal等人给出的结果。 (2005),Akin-Bohner等。 (2007)和Han等。 (2007年),但也统一了关于二阶Emden-Fowler时滞微分方程和二阶Emden-Fowler时滞差分方程的振动结果。

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