一类二阶微分方程三点边值问题正解的存在性

The Existence of Positive Solutions for a Class of Three-point Boundary Value Problem of Second Order Differential Equations

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.

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 - Carath＆#233;odory 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.