高阶时滞微分方程解非振荡的条件

Condition with Nonoscillatory Solutions for a Kind of Higher Order Neutral Differential Equation

利用Ｌａｐｌａｃｅ变换，讨论了高阶中立型时滞微分方程的非振荡解与方程的特征方程的实根分布之间的关系，得到了方程有某些类型非振荡解的充要条件．

By means of Laplace transformation, it's discussed in this paper to show the relation between the nonoscillatory solutions for a kind of higher order neutral differential equation and the distribution for real-roots of their characteristic equations. At the same time,some necessary and sufficient conditions are given that describe the existence of some kinds of nonoscillatory solutions for the above higher order neutral differential equation.