高阶非线性中立型差分方程的渐近性态

Asymptotic Behavior of Higher Order Nonlinear Neutral Difference Equation

以离散Kneser定理为基础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,…得到了方程非振动解渐近性的几个充分条件,所得结果完善了已有文献中的相应结论.

Some sufficient conditions of asymptotic behavior for nonoscillatory solutions of the highter order nonlinear defference equation is obtained on the basic of discrte kneser theorem 0 the results perfect some know results of the highter order neutral defferenec equation.