摘要
本文研究了一类具有正负系数的二阶非线性中立型变时滞阻尼差分方程的振动性,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,所得结论推广了现有文献中的一系列结果.
The oscillation of a class of second order nonlinear neutral variable delay damped difference equation with positive and negative coefficients was discussed in this paper.By introducing parameter function and the generalized Riccati transformation,some new oscillation criteria for the equation are proposed.Some existed results in the literatures have been further extended.
出处
《中央民族大学学报(自然科学版)》
2012年第1期37-41,共5页
Journal of Minzu University of China(Natural Sciences Edition)
基金
湖南省教育厅科研基金重点项目(No.09A082)
关键词
正负系数
中立型差分方程
变时滞
阻尼项
振动性
RICCATI变换
positive and negative coefficient
neutral difference equation
variable delay
damping term
oscillation
Riccati transformation