The aim of this work is to investigate the global stability, periodic nature, oscillation and the boundedness of solutions of the difference equation [x_{n+1}=rac{Ax_{n-1}}{B+Cx_{n-2l}x_{n-2k}},qquad n=0,1,2,ldots,] where $A,B,C$ are nonnegative real numbers and $l,k$ are nonnegative integers, $lleq k$.
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机译：这项工作的目的是研究差分方程 [x_ {n + 1} = frac {Ax_ {n-1}} {B + Cx_ {n的整体稳定性，周期性质，振动和解的有界性-2l} x_ {n-2k}}， qquad n = 0,1,2， ldots，]其中$ A，B，C $是非负实数，$ l，k $是非负整数，$ l leq k $。
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