一类二阶m点边值问题的可解性

Solvability for a Class of Second-order m-point Boundary Value Problem

通过微分方程的相关理论,将二阶m点边值问题转化为相应的算子方程问题,再利用锥上的Kransnosel′skii不动点定理得到算子方程的不动点,从而得到二阶m点边值问题可解的充分条件。

Using the theory of differential equation, turn the boundary value problems into equivalent operator equations. After that, the existence of the fixed point for the operator equations is studied using fixed point theorem in cones. Meanwhile, the sufficient conditions of the solvability for the class of second - order - point boundary value problem is presented.