Oscillation of Secondorder Neutral Delay Dynamic Equations on Time Scales

HAN Zhenlai; ; SUN Shurong

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Oscillation of Secondorder Neutral Delay Dynamic Equations on Time Scales

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- Oscillation of Secondorder Neutral Delay Dynamic Equations on Time Scales
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 49, Issue 5, Pages: 21-24(2010)
- 作者机构：
  
  1. 济南大学理学院,山东,济南,250022
  2. 
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2010，
  
  Published Online：25 September 2010，
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HAN Zhenlai, , SUN Shurong. Oscillation of Secondorder Neutral Delay Dynamic Equations on Time Scales. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 49(5):21-24(2010)
DOI：

HAN Zhenlai, , SUN Shurong. Oscillation of Secondorder Neutral Delay Dynamic Equations on Time Scales. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 49(5):21-24(2010) DOI：

摘要

借助时间尺度的有关理论和广义Riccati变换、积分平均技巧，研究了一类较为广泛的时间尺度上二阶中立型时滞EmdenFowler动力方程的振动性，给出了该类方程振动的几个定理，所得结果推广和改进了已知文献中的有关结论，统一了相应的微分方程与差分方程振动性的有关结果，指出了其差异性。最后，给出了例子说明所得结果的适应性。

Abstract

By means of the theory on time scales

Riccati transformation technique and integral averaging technique

we consider oscillation of generalized secondorder neutral delay EmdenFowler dynamic equation on time scales

establish some oscillation theorems. These results extend and improve the results given

unify the results on oscillation of the secondorder neutral delay EmdenFowler differential equation and difference equation

point out the difference. An example is given to illustrate the results.

关键词

时间尺度中立型时滞EmdenFowler动力方程振动性

Keywords

time scalesneutral delay EmdenFowler dynamic equationsoscillation

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Related Institution

School of Science, Shaoyang University

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．广东金融学院

．中山大学数学与计算科学学院

College of Mathematics and Statistics, Hengyang Normal University

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