一类二阶微分方程三点边值问题二重对称解的存在性

Double Symmetric Solutions of Second Order Differential Equations Three Point Boundary Value Problems

文章讨论了一类二阶微分方程边值问题.当非线性项满足适当的条件时,利用不动点指数理论及相关线性算子的特征值,得到了这类边值问题二重正解存在的充分条件.

The existence of double positive solutions of the second order differential equation three point boundary value problem is discussed. We give the exsistence of double symmetric positive solution by applying the fixed point index method which involve the principal eigenvalue of a related linear operator.