一类具振动系数的偶数阶非线性中立型方程的振动性  

Oscillation for a Class of Even Order Nonlinear Neutral Equationswith Oscillating Coefficients

作　　者：李元旦[1] 高正晖[1] 

机构地区：[1]衡阳师范学院数学与计算科学系,湖南衡阳421002

出　　处：《衡阳师范学院学报》2011年第6期13-16,共4页Journal of Hengyang Normal University

基　　金：湖南省教育厅科研计划项目(09C171)

摘　　要：研究了一类具振动系数的偶数阶非线性中立型微分方程,通过利用广义Riccati变换和引入参数函数,得到了该类方程振动的若干充分条件,所得结果推广了已有的相应结论。A class of even order nonlinear neutral differential equations with oscillating coefficients is studied, some sufficient conditions for the oscilliation of the equation are obtained by using the generalized Riccati transformation and introducing parameter function,the conclusions which we draw generalized the part conclusions.

关 键 词：偶数阶 非线性 中立型方程 振动系数 振动性 

分 类 号：O175.1[理学—数学]