运用单调迭代法研究一类非线性三阶常微分方程三点边值问题,不仅获得其正解的存在性,还给出正解的两个迭代序列,并且迭代序列的初值是零函数或一次函数.
A class of nonlinear three-point boundary value problem of third-order ordinary differential equation was studied by using monotonic iteration method.Not only the existence of positive solution was obtained but two iterative sequences of positive solution were also given.Moreover,the initial value of the iterative sequences was zero function or linear function.