Oscillation of Higher Order Emden-Fowler Functional Differential Equations with Damping

YANG Jiashan; QIN Xuewen

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Oscillation of Higher Order Emden-Fowler Functional Differential Equations with Damping

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- Oscillation of Higher Order Emden-Fowler Functional Differential Equations with Damping
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 54, Issue 4, Pages: 63-68(2015)
- 作者机构：
  
  梧州学院信息与电子工程学院,广西,梧州,543002
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2015，
  
  Published Online：25 August 2015，
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YANG Jiashan, QIN Xuewen. Oscillation of Higher Order Emden-Fowler Functional Differential Equations with Damping. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 54(4):63-68(2015)
DOI：

YANG Jiashan, QIN Xuewen. Oscillation of Higher Order Emden-Fowler Functional Differential Equations with Damping. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 54(4):63-68(2015) DOI：

摘要

为了进一步发展和完善泛函微分方程的振荡理论，研究了一类具有阻尼项的高阶非线性变时滞Emden-Fowler型泛函微分方程的振荡性。利用Riccati变换的技巧，借助于H-lder不等式及一些分析技术，获得了该类方程振荡的一些新的判别准则，这些准则推广并改进了现有文献中的一些结果，并以具体例子说明了本结果的重要性。

Abstract

In order to develop and improve the theory about oscillation of functional differential equations

oscillatory behavior of a class of higher-order nonlinear variable delay Emden-Fowler functional differential equations with damping is studied. By using the generalized Riccati transformation

the H-lder inequality and some necessary analytic techniques

some new criteria for the oscillation of the equations are proposed. These criteria improve and generalize some corresponding known results. Some examples are given to illustrate the importance of the results.

关键词

振荡性阻尼项Emden-Fowler型泛函微分方程Riccati变换

Keywords

oscillationdamped termEmden-Fowler functional differential equationRiccati transformation

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Related Author

YANG Jiashan

ZHANG Xiaojian

YANG Jiashan

Related Institution

Department of Mathematics and Physics, Wuzhou University

Department of Science and Information, Shaoyang University

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