二阶Nuemann边值问题两个正解的存在性

Existence of Two Postive Solutions for Second Order Nuemann Boundary Value Problem

利用锥上的不动点定理证明了二阶Nuemann边值问题 -u″ +Mu =f(t,u) ,u′(0 ) =u′(1) =0至少有两个正解存在的充分条件 .

Using the Fixed Point theorems in cones, we consider the existence of positive solutions for second order Nuemann boundary value problem -u″+Mu=f(t,u), u′(0)=u′(1)=0. We obtain the sufficient conditions on the existence of at least two positive solutions for this problem.