摘要
研究了一类同时具有正负系数和阻尼项的高阶非线性变时滞泛函微分方程的振动性,通过引入参数函数和Riccati变换,获得了该类方程振动的判别准则,这些准则改善了对方程的条件限制,所得结论推广并改进了现有文献中的一系列结果,并给出了具体例子用以说明主要结论。
The oscillation for a class of higher order nonlinear variable delay functional differential equation with positive and negative coefficients and damping term is discussed.By introducing parameter function and the generalized Riccati transformation,some criteria for the oscillation of the equation are proposed.These criteria improve the restriction of the conditions for the equation.And these results improve and generalize some corresponding known results.Some examples are given to illustrate the main results.
出处
《中山大学学报（自然科学版）》
CAS
CSCD
北大核心
2012年第1期30-34,共5页
Acta Scientiarum Naturalium Universitatis Sunyatseni
基金
湖南省教育厅科研基金重点资助项目(09A082)
关键词
正负系数
泛函微分方程
变时滞
阻尼项
RICCATI变换
振动性
positive and negative coefficient
functional differential equation
variable delay
damping term
Riccati transformation
oscillation
