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

被引：0
作者：
Shurong Sun
Zhenlai Han
Ping Zhao
Chao Zhang
机构：
[1] University of Jinan,School of Science
[2] Missouri University of Science and Technology,Department of Mathematics and Statistics
[3] Shandong University,School of Control Science and Engineering
[4] University of Jinan,School of Control Science and Engineering
来源：
Advances in Difference Equations | / 2010卷
关键词：
Delay Differential Equation; Nonoscillatory Solution; Oscillation Criterion; Continuous Dynamic System; Nonlinear Dynamic Equation;
D O I：
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摘要：
By means of Riccati transformation technique, we establish some new oscillation criteria for the second-order Emden-Fowler delay dynamic equations [inline-graphic not available: see fulltext] on a time scale [inline-graphic not available: see fulltext]; here [inline-graphic not available: see fulltext] is a quotient of odd positive integers with [inline-graphic not available: see fulltext] and [inline-graphic not available: see fulltext] as real-valued positive rd-continuous functions defined on [inline-graphic not available: see fulltext]. 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.
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