摘要
研究了一类具有正负系数和非线性中立项的二阶非线性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一些新的判别准则,这些准则推广了现有文献中的一系列结果.
This paper discussed oscillation of a class of second order nonlinear variable delay damped difference equation with positive and negative coefficients and nonlinear neutral term. 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
《邵阳学院学报(自然科学版)》
2012年第2期6-10,共5页
Journal of Shaoyang University:Natural Science Edition
基金
湖南省教育厅科研基金重点项目(09A082)
关键词
正负系数
阻尼差分方程
非线性中立项
变时滞
RICCATI变换
positive and negative coefficient
damped difference equation
nonlinear neutral term
variable delay
Riccatitransformation