非线性三阶常微分方程的非线性三点边值问题解的存在性

Existence of solution to nonlinear three-point boundary value problem for nonlinear third-order nonlinear ordinary differential equation

基于上下解方法,在一定条件下,得到了一类带有非线性混合边界条件的三阶常微分方程的非线性三点边值问题解的存在性,作为上述存在性结果的应用,在推论中给出了一类三阶非线性微分方程三点边值问题解的存在性.

Based on the upper and lower solutions method,under suitable conditions,existence of solution of a three-point boundary value problem forthird-order ordinary differential equation with nonlinear mixed boundary conditions is obtained. As an application of the above existence result, in the corollary, existence of solution of a third-order three-point boundary value problem is given.