非线性三阶三点边值问题系统的正解  

Positive solutions to a system of nonlinear third-order three-point boundary value problems

作　　者：孙建平[1] 杨雪梅[1] 赵亚红[1] 

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《兰州理工大学学报》2017年第4期150-153,共4页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(11661049)

摘　　要：获得一类三阶三点特征值问题的特征值及其所对应的特征函数,并研究该特征函数的性质,进而考虑一类非线性三阶三点边值问题系统,给出其至少存在一个正解的充分条件,所用的主要工具是不动点指数理论.An eigenvalue and its corresponding eigenfunction of a class of third-order three-point eigenvalue problems are obtained, the properties of the eigenfunction are studied, and then a class of system of nonlinear third-order three-point boundary value problems is taken into consideration and the sufficient conditions of existence of at least one positive solution to the system are given out with fixed-point index theory as principal means.

关 键 词：三阶三点边值问题 系统 正解 存在性 不动点指数 

分 类 号：O175[理学—数学]