具有连续变量的变系数高阶差分方程的振动性

On Bounded Oscillation for a Class of High Order Difference Equations with Variable Coefficients and Continuous Arguments

摘要:研究一类具连续变量的高阶中立型差分方程Δτ'[x(t)c(t)x(t-τ)]+p(t)x(t-σ)=0,t≥t0>C的解的振动性,给出了有界解振动的充分条件。

The oscillation of solution for a class of high order neutral difference equations with continuous arguments△r^＇[x（t）-c（t）x（t-ι）]＋P（t）x（t-σ）=0,t≥t0〉0 is studied and the sufficient condition for bounded oscillation of the solutions is obtained.