高阶非线性中立型差分方程的振动性

Osciliation for higher order nonlinear neutral difference equation

讨论一类高阶变系数非线性中立型差分方程Δd(xn-pnxn -k) +qnf(xn -δ) =0 ,n =0 ,1,2…得到了方程所有解振动的几个充分条件 。

In this paper,some sufficient conditions for the oscillatory behavior are obtained by discussing a kind of higher order nonlinear neutral difference equation Δ d(x n-p nx n-k )+q nf(x n-δ )=0, n=0,1,2.... The results generalize and improve some known results of higher order nonlinear difference equation.