摘要
The existence of positive solutions to second-order Neumann BVPs -u' + Mu = f(t, u), u'(0) = u'(1) = 0 and u' + Mu = f(t, u), u'(0) =u'(1) is proved by a simple application of a Fixed Point Theorem in cones due to Krasnoselskii[1,6].
本文利用锥不动点定理证明了-u”+Mu=f(t,u),u’(0)=u’(1)=0和u”+Mu= f(t,u),u’(0)=u’(1)= 0两个二阶微分方程 Neumann边值问题正解的存在性。