一类Green函数变号的二阶两点边值问题正解的存在性

Existence of Positive Solution for a Second Order two Point Boundary Value Problem with Sign-changing Green's Function

讨论了Green函数变号的二阶两点边值问题:其中f:[0,1]×[0,+∞)→[0,+∞)连续.利用Guo-Krasnosel'skii不动点定理得到了正解的存在性.

This paper discusses the following second order two point boundary value problem with sign-changing Green＇s function： {x＂ ＋ f（t,x（t）） = 0,t∈[0,1] x（0） = 0,x＇（1） =-x＇（0） where f：[0,1]×[0,＋∞）→[0,＋∞） is continuous.The existence of positive solution is obtained via Guo-Krasnosel＇skii fixed point theorem.