二阶差分方程边值问题正解的存在性

Existence of positive solutions to second-order difference equations boundary value problem

应用代数理论结合Krasnoselskii不动点定理,给出了边值问题△2u(t-1)=g(t,u(t-1),u(ft),u(0) =0,u(N+1)=0,T∈z(1,N)正解的存在性结果,将微分方程的相关结果推广到了差分方程.

Combining algebra with Krasnoselskii fixed point theorem , the existence of positive solutions of following boundary value problem △2u(t - 1) = g(t,u(t - 1) ,u(t)) , u(0)=0,u(N+1)=0 t∈ Z(1,N) is concluded , so that the relevant results from differential equations can be spread to difference equations.