摘要
研究了一类具有正负系数的二阶非线性中立型变时滞差分方程的振动性。利用Banach空间的不动点原理,引入参数函数和Riccati变换,获得了该类方程存在非振动解的新准则,同时得到了该类方程振动的判别准则,这些准则改善了方程的条件限制,所得结论推广并改进了现有文献中的结果。
The oscillation of a class of second order nonlinear neutral variable delay difference equations with positive and negative coefficients is discussed. Using the fixed point theorem in Banach space, new nonoscillation criteria for the equation are obtained by introducing parameter function and the generalized Riccati transformation. Also, a sufficient condition for oscillation of the equation is proposed. These criteria can improve the restriction of the conditions for the equation, which promote some existing results.
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2011年第8期59-62,67,共5页
Journal of Shandong University(Natural Science)
基金
湖南省教育厅科研重点资助项目(09A082)
关键词
正负系数
中立型差分方程
变时滞
非线性
振动和非振动
RICCATI变换
positive and negative coefficient
neutral difference equation
variable delay
nonlinear
oscillation andnonosciUation
Riccati transformation
