二阶Dirichlet边值问题的正解

Positive Solutions for Second Order Dirichlet Boundary Value Problem

通过对相应Green函数的讨论,利用锥上的不动点定理,得到了二阶D irich let边值问题-u+″M u=f(t,u),u(0)=u(1)=0正解的存在性结果.

The second order Dirichlet boundary value problem -u＂＋Mu=f（t,u）,u（0）=u（1）=0 is considered. The properties of Green function for this problem and the existence of positive solutions are obtained by using the fixed point theorem in the cone.