一类二阶微分方程三点边值问题正解的存在性

摘要

In this paper,we discuss a class of three - point boundary value problem of second - order differ-ential equations with variable coeffcient h(t),where the nonlinear term f is a Quasi - Carathéodory condition. The existence theorem of positive solution for the problem is obtained by using the fixed point index theory and estab-lishing an especial cone.%讨论了一类带有变系数 h（t）的二阶微分方程的三点边值问题，其中非线性项 f 是一个 Quasi -Carathéodory -函数。通过构造一个特殊的锥，利用不动点指数理论获得该问题正解的存在性定理。