一类时滞差分方程解的持久性

Permanence of Solution for a Class of Delay Difference Equation

考虑变系数时滞差分方程pn+1-pn=-δnpn+βn/(1+pn-ω)证明方程的解是持久的.利用不动点定理,证明了周期正解的存在性.推广了已有文献中的相关结果,具有一定的理论意义和较强的实际应用价值.

The permanence of solution of a class delay difference equation is shown：Pn＋1-Pn=-δnPn＋β/1＋Pn-musing a fixed point theorem,show the existence of periodic positive solution of the equation. The results extends corresponding known results in literature and provides more application value.