利用混合单调算子,给出了奇异二阶差分方程边值问题{△^2y(i-1)+λf(i,y(i))=0,i∈N={1,2…,T},λ>0 y(0)=y(T+1)=0(基中f(i,y)∈C(N×[0,∞),[0,∞)),非线性项f在y=0可能是奇异的)的解的存在及唯一性.
By means of a fixed point theorem, existence and uniqueness are established for singular boundary value problems for second order difference equations. The theorems obtained are very general and complement previous known results.