考虑一类时滞差分方程的振动性，得到了该方程振动的一个充分条件。
A class of neutral difference equation with delay is considered and a sufficient condition for the oscillation of the equations is obtained.
利用两点拉伸型不动点定理给出一阶时滞差分方程周期解存在性的充分条件。
Based on the fixed point theorem of two-point extension type, sufficient conditions are derived for the existence of positive periodic solutions of delay difference equations.
本文研究一类非线性中立型时滞差分方程的非振动解的渐进性，改进了相关的结果。
This paper is concerned with of asymptotic behavior for a family of neutral delay nonlinear difference equations, which improves some known results.
考虑一类非线性时滞差分方程，用直接计算的方法，证明了它的所有非平凡正解都是发散。
The non-convergence of nontrivial positive solution of the equations is proved by direct computation method.
借助一个重要的不等式研究一类带有强迫项的时滞差分方程的振动性，并推广至高阶的情形。
An important inequality is used to establish some criteria for the oscillation of forced difference equation and it is generalized to higher order.
考虑一类非线性时滞差分方程，用直接计算的方法，证明了它的所有非平凡正解都是发散的。
A class of nonlinear delay difference equations is considered. The non-convergence of nontrivial positive solution of the equations is proved by direct computation method.
考虑一类非线性时滞差分方程，用直接计算的方法，证明了它的所有非平凡正解都是发散的。
A class of nonlinear delay difference equations is considered. The non-convergence of nontrivial positive solution of the equations is proved by direct computation method.
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