一类二阶奇异半正Sturm-Liouville边值问题的正解

Positive Solutions of a Class of Second-Order Semi-Positone Sturm-Liouville Boundary Value Problems

研究具有Sturm-Liouville边界条件的一类二阶奇异半正微分方程的正解问题,通过构造格林函数及锥,利用范数形式的锥拉伸不动点定理,得到了其正解存在的判定方法.

In this paper,a class of singular semi-positone second-order differential equations is studied with SturmLiouville boundary value conditions.By using fixed point theorem of cone expansion of norm type,the way to judge the existence of positive solutions for the problem is obtained.