摘要
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.
出处
《兰州理工大学学报》
CAS
北大核心
2014年第3期161-164,共4页
Journal of Lanzhou University of Technology
基金
河北省高等学校科研技术研究项目(Z2013016)
关键词
单调迭代技巧
单调正解
积分条件
monotone iteration method
monotone positive solutions
integral conditions