非线性时滞差分方程的振动性

考虑非线性时滞差分方程x_{n+1}-x_n+p_nf(x_{n-l_1},x_{n-l_2}x_{n-l_m})=0, n=0,1,2, 获得了方程所有解振动的充分条件, 推广并改进了现有文献中的结果.

Oscillation of Nonlinear Delay Difference Equations

Consider the nonlinear delay difference equation of the form x\-\{n+1\}-x\-n+p\-nf(x\-\{n-l\-1\},x\-\{n-l\-2\},\:,x\-\{n-l\-m\})=0,\ n=0,1,2,\:. This paper obtain sufficient conditions for the oscillation of all solutions of this equation. Which extend and improve some well-known results in the literature.