摘要
运用单调迭代技巧研究了带积分边界条件的四阶边值问题■单调正解的存在性,其中f:[0,1]×[0,+∞)~2→[0,+∞)连续,g:[0,1]→[0,+∞)连续,不仅获得了该问题正解的存在性,而且得出迭代列的初值是简单的零函数或一次函数。
By using the monotone iterative technique, this article studies the existence of monotone positive solutions for fourth order boundary value problems with integral boundary conditions ■where f:[0,1]×[0,+∞)~2→[0,+∞) is continuous, g:[0,1]→[0,+∞) is continuous, not only the existence of the positive solution of the problem is obtained, but also the initial value of the iterative sequence is a simple zero function or a primary function.
作者
何燕琴
韩晓玲
HE Yan-qin;HAN Xiao-ling(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,Gansu,China)
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2019年第12期32-37,共6页
Journal of Shandong University(Natural Science)
基金
国家自然科学基金资助项目(11561063)
关键词
四阶边值问题
积分边界条件
单调正解
存在性
迭代技巧
fourth-order boundary value problem
integral boundary condition
monotone positive solution
existence
iterative technique
