摘要
研究一类具连续分布时滞的二阶半线性阻尼微分方程,利用Yang不等式、广义Riccati变换和H函数,给出了此类方程所有解振动新的充分条件,所得结果推广和改进了已有文献的结果.
In this paper, Oscillation of a class of half-linear damped differential equation with continous distributed delay is studied. By means of Yang inequality, the generalized Riccati transformation and function H, Several new sufficient conditions are obtained for all oscillational solutions of the equation, Which generalize and improve some known results.
出处
《数学的实践与认识》
CSCD
北大核心
2014年第17期236-241,共6页
Mathematics in Practice and Theory
基金
湖南省"十二五"重点建设学科"运筹学与控制论"项目(湘教发[2011]76号)
2012年湖南省教育厅科学基金(12C0541)
衡阳师范学院青年骨干教师培养对象项目(2012)
衡阳市科技计划项目(2014KJ22)
关键词
连续分布时滞
阻尼项
半线性微分方程
振动性
continous distributed delay
damped term
half-linear differential equation
oscillation
