一类三阶边值问题单调迭代解的存在性

The existence of iterative solution of a class of third order boundary value

研究了一类三阶边值问题,在边值问题不要求有上下解存在的情况下,应用单调迭代技术给出了边值问题存在正解的充分条件,且从简单的函数出发构建出函数序列,使它趋近于边值问题的正解.

A kind of three order boundary value problem was studied.Without requiring the existence of lower and upper solutions,by applying monotone iterative techniques,not only the existence of positive solutions were obtained,but also iterative schemes for approximating the solutions were established.