一阶中立型时滞微分方程的一个新的振动性准则(英文)  

A New Oscillatory Criterion for First Order Neutral Delay Differential Equations

作　　者：肖功福[1] 李先义[2] 

机构地区：[1]湖南大学衡阳分校基础部,湖南衡阳421001 [2]南华大学数理部,湖南衡阳421001

出　　处：《南华大学学报（理工版）》2001年第4期8-9,14,共3页Journal of Nanhua University(Science & Engineering)

基　　金：ProjectSupportedbyMathematicalTianyuanFoundationofChina (TY10 2 6 0 0 2 - 0 1- 0 5 - 0 3)andScientificResearchFoundationoftheEducationComitteeofHunanProvince (81- 99C14 6 ) .

摘　　要：文中首先得到一阶中立型时滞微分方程所有解振动的一个新的充分条件 ,然后把这个结果推广到一个一般的中立型微分方程 。In this paper, a new suffcient condition for the oscillation of all solutions of first order neutral delay differential equations is first obtained. Secondly,the result is extended to a general neutral differendial equation,and many known results in the literature are improved.

关 键 词：振动性 中立型时滞微分方程 特征方程 

分 类 号：O175.1[理学—数学]