一类时滞差分方程解的有界振动性

The Oscillatory Behavior of A Class of Delay Difference Equations

本文研究一类不稳定型二阶超线性中立型时滞差分方程△2(x(n)+c(n)x(n-m))一p(n)xα(n-k)=0的有界振动性,并运用一些新的技巧,证明了其无界正解的存在性,并得出其有界解振动的一个充分条件。

In this paper ,the oscillatory behavior of a class of superlinear neutral difference equation with unstable type △2(x(n) + c(n)x(n - m))- p(n)xα(n - k) = 0 is investigated by employing some new techniques.The existence of unbounded positive solution is proved.The sufficient conditions for bounded oscillation is obtained .