具连续分布滞量的二阶半线性中立型微分方程解的振动性  

Oscillation of Second Order Half-linear Neutral Differential Equation with Continuous Distributed Delay

作　　者：肖娟[1] 王朝阳 曾云辉[1] 

机构地区：[1]衡阳师范学院数学与计算科学系,湖南衡阳421008 [2]衡阳市第十五中学,湖南衡阳421008

出　　处：《衡阳师范学院学报》2011年第6期6-9,共4页Journal of Hengyang Normal University

基　　金：衡阳师范学院青年科学基金资助项目(10A42)

摘　　要：研究一类具连续分布滞量的二阶半线性中立型微分方程,利用广义Riccati变换和积分算子理论,给出了此类方程所有解振动的充分条件,所得结果推广和改进了已有文献的结果。By using generalized riccati fransformations and theory of intergral operator, sufficient condition for oscillation of each solution for a class of the second order half-linear neutral differential equation with continuous distributed delay is given. The obtained criteria generalized and improved some known results in the literature.

关 键 词：连续分布滞量 半线性微分方程 振动性 

分 类 号：O175[理学—数学]