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三阶微分方程的Liapunov型不等式
Liapunov-type Inequality for Differential Equations of Order Three
【摘要】 研究了三阶微分方程 :y (t) +q(t)y″(t) +P(t)y(t) =0 (q(t) ,p(t)∈C([0 ,+∞ ) ,R) )的振荡解y(t)在其相邻两个或 3个零点间的性质 ,从而得到其系数满足的一些不等式 ,并统一了已有的一些结果
【Abstract】 In this paper, the oscillatory solutio n y(t) of differential equations of order three y(t)+q(t)y″(t)+p(t)y(t )=0, (q(t), p(t)∈C ([0,+∞),R)) has been studied. Some prop erties of the oscillatory solution y(t) between consecutive two or three zer o-points have been derived. And some existent results are unified.
【关键词】 Liapunov型不等式;
振荡解;
三阶微分方程;
【Key words】 Liapunov-type inequality; Oscillator y solution; Third-order differential equations;
【Key words】 Liapunov-type inequality; Oscillator y solution; Third-order differential equations;
- 【文献出处】 四川师范大学学报(自然科学版) ,Journal of Sichuan Normal University(Natural Science) , 编辑部邮箱 ,2000年06期
- 【被引频次】1
- 【下载频次】28