一类差分方程的S渐近ω周期解

Positive S-asmptotically ω-Periodic Type Solutions for Difference Equations

研究了离散情况下S渐近ω周期函数的一些基本性质,并利用文献[7]中的不动点定理2.1,建立了如下一类差分方程x(k)=k∑j=k-τ(k)f(j,x(j)),k∈Z的S渐近ω周期解的存在性定理,并指出该解在一定范围内具有唯一性。

In this paper, we studied some properties of the S-asymptotically to-periodic function in discrete cases. According to the fixed point theorem 2.1 in literature [ 7 ]. We have to establish some theorems to find the existence of S-asymptotically to-periodic type solutions in the difference equations x （k） =k∑j=k-τ（k）f（j,x（j））,k∈Z, Moreover,we indicate the solution is unique within certainrange.