一类二阶常微分方程组两点边值问题三个正解的存在性  

Existence of Triple Positive Solutions to A Class of Second-Order Two-Point Boundary Value Problem for Ordinary Differential Equations

作　　者：刘杰操 金淑女 李欣桐 

机构地区：[1]吉林化工学院石油化工学院,吉林吉林132022 [2]吉林市朝鲜族中学校,吉林吉林132022 [3]北华大学数学与统计学院,吉林吉林132013

出　　处：《吉林化工学院学报》2017年第9期66-73,共8页Journal of Jilin Institute of Chemical Technology

摘　　要：考虑二阶常微分方程组两点边值问题三个正解的存在性,适当定义半序巴拿赫空间及其上的锥,并利用Legget-Williams不动点定理,建立二阶常微分方程组两点边值问题三个正解的存在性结果.We consider the existence of triple positive solutions to a class of second-order two-point boundary value problem for ordinary differential equations.For this two-point boundary value problem of second-order ordinary differential equations,at first we define the semi-ordering Banach space and a cone on this Banach space.And then we apply the Legget-Williams fixed point theorem to obtain the existence of triple positive solutions to the above two-point boundary value problem of second-order ordinary differential equations.

关 键 词：二阶常微分方程组 两点边值问题 三个正解 存在性 Legget-Williams不动点定理 格林函数 

分 类 号：O175[理学—数学]