| 一类三阶微分方程的Liapunov型不等式 |
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| 引用本文： | 苟清明. 一类三阶微分方程的Liapunov型不等式[J]. 四川师范大学学报(自然科学版), 2001, 24(3): 258-259 |
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| 作者姓名： | 苟清明 |
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| 作者单位： | 涪陵师范高等专科学校数学系 |
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| 摘 要： | 从一类形如：y^′′′(t) q(t)y′(t) p(t)y(t)=0(q(t),q′(t),p(t)∈C([0, ∞),R)）的三阶油分方程得到一个Liapunov型不等式，研究了它的振荡解y(t)在其相邻的两个域3个零点间的性质，并统一了已有的一些结果。
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| 关 键 词： | 三阶微分方程 振荡解 Liapunov型不等式 Cauchy－Schwarz不等式 分部积分 |
| 文章编号： | 1001-8395（2001）03-0258-02 |
| 修稿时间： | 2000-12-12 |
A Liapunov-type Inequalityfor a Class of Third-order Differential Equations |
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| GOU Qing-ming. A Liapunov-type Inequalityfor a Class of Third-order Differential Equations[J]. Journal of Sichuan Normal University(Natural Science), 2001, 24(3): 258-259 |
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| Authors: | GOU Qing-ming |
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| Abstract: | In this paper,a Liapunov-type inequality is derived from a class of third-order differential equations of the form y(t)+q(t)y′(t)+p(t)y(t)=0,where,p(t),q(t),q′(t) are real-valued continuons functions on ［0,+∞).Some properties of the oscillatory solution y(t) between consecutive two or three zeros are studied.And some known results are unified. |
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| Keywords: | Third order differential equations Oscillatory solution Liapunov type inequality |
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