带积分边界条件的四阶边值问题的单调正解  

Monotone positive solutions of fourth-order boundary value problems with integral boundary conditions

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)

机构地区：[1]西北师范大学数学与统计学院

出　　处：《山东大学学报（理学版）》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)

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.

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 

分 类 号：O175.8[理学—数学]