一类具三维核共振条件多点边值问题

摘要

本文利用Mawhin的重合度理论建立了一类三阶非线性微分方程多点边值问题解的存在性,而后给出一个例子说明该存在性结果的可用性.%In this note, a multi-point boundary value problems for a third order nonlinear differential equation is considered. With the help of coincidence theorem due to Mawhin, an existence theorem is obtained. Also, an example is given to illustrate existence result.