二阶半线性中立型滞后阻尼微分方程解的振动性  

Oscillation of a Class of Second-order Half-linear Neutral Damped Differential Equation with Time-delay

作　　者：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

出　　处：《中央民族大学学报（自然科学版）》2012年第2期41-45,70,共6页Journal of Minzu University of China(Natural Sciences Edition)

基　　金：衡阳师范学院青年科学基金资助项目(No.10A42)

摘　　要：研究了一类二阶半线性中立型阻尼微分方程的振动性,利用Yang不等式,广义Riccati变换和H函数,获得此类方程所有解振动的新的充分条件.In this paper, Oscillation for a class of second-order half-linear neutral damped differential equation with time-delay is studied. By means of Yang-inequality, the generalized Riccati transformation and fuction H, some new sufficient conditions of oscillation are given for all solution of the equation.

关 键 词：半线性微分方程 阻尼项 振动性 

分 类 号：O175.27[理学—数学]