二阶Emden-Fowler型差分方程在工程技术中具有广泛应用。本文运用Riccati变换技术研究一类二阶具有振动系数的中立型Emden-Fowler型时滞差分方程的振动性,给出该类方程所有有界解或者振动或者收敛于零的几个充分条件,并给出一个例子说明本文结果的应用性。
Second-order Emden-Fowler difference equation is widely used in engineering technology. By means of Riccati transformation technique, this paper establishes some criteria which guarantee all bounded solutions either oscillate or converge to zero for a class of second-order neutral Emden-Fowler difference equation with oscillating coefficient, and gives an example to indicate the application of results.