几类四阶非线性常微分方程非线性四点边值问题解的存在性

摘要

利用格林函数和上、下解方法讨论了四阶非线性常微分方程之具有线性和非线性四点边界条件的几类边值问题解的存在性.%In this paper, the author prove the existence of solutions of some nonlinear 4-point boundary valve problems for fourth_order nonlinear differential equations by Green's functions and method of the Upper and lower solutions.