二阶多时滞中立型微分方程的振动性  

Oscillation theorem for second order neutral differential equations with mutiple delays

作　　者：闫卫平[1] 王兰红[1] 

机构地区：[1]山西大学数学科学学院,山西太原030006

出　　处：《安徽大学学报（自然科学版）》2015年第3期1-4,共4页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11171194);山西省自然科学基金资助项目(2012011001-1)

摘　　要：研究二阶线性中立型微分方程的振动性,对具有多时滞的一类二阶中立型微分方程的振动性进行讨论,利用比较原理将二阶多时滞中立型微分方程的振动性判断转化为判断一阶方程的振动性,这种比较原则最大限度地使研究的二阶方程得到简化.To study the oscillation of the second order neutral differential equations with mutiple delays of a class of second order neutral differential equations were discussed.The obtained result were based on the new comparison theorems,that enable us to reduce the problem of the oscillation of the second order equation to the oscillation of the first order equation.The obtained comparison principles essentially simplify the examination of the studied equations.

关 键 词：二阶多时滞线性中立型微分方程 比较原理 振动性 非振动性 

分 类 号：O175.4[理学—数学]