具连续分布滞量的二阶半线性阻尼微分方程的振动准则  

Oscillation criteria of a second order half-linear damped differential equation with distributed deviating argument

作　　者：曾云辉[1] 罗李平[1] 罗振国[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：《振动与冲击》2013年第8期1-4,12,共5页Journal of Vibration and Shock

基　　金：湖南省十二五重点建设学科基金资助项目(湘教发[2011]76号);2012年湖南省教育厅基金项目资助(12C0541);衡阳师范学院青年骨干教师培养对象资助项目(2012)

摘　　要：通过研究一类具连续分布滞量的二阶半线性阻尼微分方程的振动性。利用函数不等式技巧、广义Riccati变换和H(t)函数等方法,给出此类方程所有解的新振动准则,所得结果推广和改进了文献的结果。Here, Oscillation of a class of half-linear damped differential equations with distributed deviating argument was studied. By means of the function inequality technique, the generalized Riccati transformation and the function H （t） , several new oscillation criteria were obtained for all solutions to the equation. The results entended and improved some known ones in literatures.

关 键 词：连续分布滞量 阻尼项 半线性微分方程 振动性 

分 类 号：O175.27[理学—数学]