一类三阶非线性向量型微分方程解的全局稳定性

朱德武; 邓擘

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一类三阶非线性向量型微分方程解的全局稳定性

更新时间：2026-01-21

- 一类三阶非线性向量型微分方程解的全局稳定性
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Issue 1, (2001)
- 作者机构：
  
  新疆大学数学系!新疆乌鲁木齐830046,新疆大学数学系,新疆,乌鲁木齐,830046
- 作者简介：
- 基金信息：
- DOI：
  CLC： O175
- Published：2001
- 稿件说明：
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[1]朱德武,邓擘.一类三阶非线性向量型微分方程解的全局稳定性[J].新疆大学学报(理工版),2001(01):6-12.

朱德武, 邓擘. 一类三阶非线性向量型微分方程解的全局稳定性[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2001, (1).
[1]朱德武,邓擘.一类三阶非线性向量型微分方程解的全局稳定性[J].新疆大学学报(理工版),2001(01):6-12. DOI：

朱德武, 邓擘. 一类三阶非线性向量型微分方程解的全局稳定性[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2001, (1). DOI：

摘要

对一类三阶非线性向量型微分方程零解的全局吸引性及全局稳定性给出了新的判别准则 .

Abstract

In this paper the global stability of a class of third order vectorial differential equations are discussed.By using the method of Liapunov function

we acquire new sufficient condition to the globally asymptotical stability of this class of equations.

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references

Ezeilo JOC. n- Dimensional extensions of boundedness and stablity theorems for some Third order dif-ferential equations[J].JMath Anal Appl,196 7,18:395- 4 16 .

[2 ]ABOU - EL - EL A AMA.boundedness of the solutions of certain third- order vector differential equations[J].Anna of diff Eqs,1985,1:12 7- 139.

Meng F W.U ltimate boundedness results for a certain system of third order nonlinear differential equa-tions[J].JMath Anal Appl,1993,177:4 96 - 50 9.

[4 ]西密尔 ,等 .一类三阶向量微分方程解的有界性和周期性 [J].应用数学和力学 ,1999,2 0 (2 ) :154- 16 0

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