一类二阶边值问题2个正解的存在性

Existence of Two Positive Solutions for Second Order Boundary Value Problem

利用锥上的不动点定理,得到了二阶Dirichlet边值问题-u″+Mu=f(t,u),u(0)=u(1)=02个正解的存在性结果.

By using the fixed point theorems in cones, we considered the existence of positive solutions for second order Dirichlet boundary value problem-u＂＋Mu=f（t,u）u（0）=u（1）=0. We obtained the suf- ficient conditions of at least two positive solutions for this problem.