带Riemann-Stieltjes积分条件的三阶边值问题的单调正解

Monotone positive solutions of third-order boundary value problem involving Riemann-Stieltjes integral conditions

运用单调迭代技巧讨论一类带Riemann-Stieltjes积分条件的三阶非局部边值问题,不仅获得其单调正解的存在性而且建立逼近于解的迭代序列,迭代列的初值是简单的零函数或一次函数,便于计算机实现,并举例阐述主要结果.

By means of iteration technique, a class of third-order nonlocal boundary value problem with Riemann-Stieltjes integral conditions was discussed and not only the existence of its monotone positive solution was obtained but also the iteration order for solution approximation were established, which would start off with zero function or quadratic function as its zero-order approximation to make the iteration easy on the computer. An example was also included to illustrate the main results.