二阶差分方程边值问题的一个存在定理

An existence theorem of solution to boundary-value problem governed by second-order difference equation

运用拓扑度理论获得了如下边值问题Δ2 u(k) +g(k)f(u(k) ) =0 , k∈ [0 ,T]u(0 ) =0 =u(T+2 )的一个新的存在定理 。

The topological degree theory is applied to obtain an new existence theorem of solution to the following boundary value problem Δ 2u(k)+g(k)f(u(k))=0, k∈ u(0)=0=u(T+2),where T is a fixed positive integer.