三阶微分方程的Liapunov型不等式

Liapunov-type Inequality for Differential Equations of Order Three

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 。

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.