Oscillation of Higher Order Neutral Functional Differential Equations with Damping

YANG Jiashan

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Oscillation of Higher Order Neutral Functional Differential Equations with Damping

更新时间：2023-12-11

- Oscillation of Higher Order Neutral Functional Differential Equations with Damping
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 53, Issue 3, Pages: 67-72(2014)
- 作者机构：
  
  梧州学院数理系,广西,梧州,543002
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2014，
  
  Published Online：25 May 2014，
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YANG Jiashan. Oscillation of Higher Order Neutral Functional Differential Equations with Damping. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 53(3):67-72(2014)
DOI：

YANG Jiashan. Oscillation of Higher Order Neutral Functional Differential Equations with Damping. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 53(3):67-72(2014) DOI：

摘要

研究了一类具有阻尼项的偶数阶非线性变时滞中立型泛函微分方程的振荡性，借助于Holder不等式及一些分析技巧，利用Riccati变换和H函数的方法，获得了该类方程振荡的一些新的判别准则，所得结论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所得结果的重要性。

Abstract

The oscillation for a class of even order nonlinear variable delay neutral functional differential equation with damping is discussed. By using the generalized Riccati transformation and the method of H function

and H-lder inequality and some necessary analytic techniques

some new criteria for the oscillation of the equation 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

振荡性阻尼项泛函微分方程Riccati变换

Keywords

oscillationdamped termfunctional differential equationRiccati transformation

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School of Information and Electronic Engineering, Wuzhou University

Department of Science and Information, Shaoyang University

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