二阶差分方程边值问题的多解性

EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS OF BOUNDARY VALUE PROBLEM FOR A SECOND-ORDER DIFFERENCE EQUATION

考察了边值问题Δ2 u( k) + g( k) f ( u) =0 ,k∈ [0 ,T]u( 0 ) =u( T+ 2 ) =0的多解性 ,其中 T为固定的自然数 ,将文献 [5]的结果推广到了差分方程 ,且与文献[5]相比较 ,不要求 liml→ 0f ( l)l ,liml→∞f ( l)l

The existence of multiple positive solutions for the following boundary value problem is considered: Δ\+2 u(k)+g(k)f(u)=0, k∈ u(0)=u(T+2)=0 where T is a fixed positive integer. The existence of lim l→0f(l)l, lim l→∞f(l)l is not required.