三阶非线性边值问题的正解存在性与唯一性

Existence and Uniqueness Of Positive Solution for Nonlinear Third-order Boundary Value Problem

研究了一类含参数的非线性三阶边值问题,利用不动点指数理论并结合Green函数估计,在适当条件下证明了其正解的存在性与唯一性.

This paper probes into a class of containing parameter of nonlinear third-order point boundary problem. The existence and uniqueness of positive solution for third-order boundary value problem is obtained by using fixed point index theory on cone.