一类二阶非线性中立型差分方程的振动准则  

The oscillatory criteria of a second order neutral several delay nonlinear difference equation with continuous arguments

作　　者：蒋心学[1] 唐清干[1] 

机构地区：[1]桂林电子科技大学数学与计算科学学院,广西桂林541004

出　　处：《桂林电子科技大学学报》2008年第3期264-266,共3页Journal of Guilin University of Electronic Technology

摘　　要：运用分析法和有理函数的性质,研究了一类二阶具有连续变量多时滞非线性中立型差分方程的振动性,获得了该方程振动的几个充分条件,并得到了其相对应的线性差分方程解振动的两个充分条件,其结果改进和推广了已有文献[1]中的结论。Analytical methods and the quality of rational function are referred to in investigating the oscillation of a second order nonlinear neutral several delay difference equation. We gained several theorems and two sufficient conditions for its linear difference equation. Our study findings generalized and improved some known results drawn in literature^[1].

关 键 词：差分方程 振动性 最终正解 

分 类 号：O175.1[理学—数学]