具有变号二阶三点边值问题的两个正解  

Two Positive Solutions for Second Order Three-Point Boundary Value Problem With Change of Sign

作　　者：魏嘉[1] 王静[1] 

机构地区：[1]兰州文理学院师范学院,甘肃兰州730000

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2015年第2期162-165,169,共5页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：甘肃省自然科学基金资助项目(3ZS042-B26-021);甘肃省教育厅科研项目(1013B-03)

摘　　要：运用锥上的Guo-Krasnosel’skii不动点定理,研究了一类非线性项变号的二阶常微分方程三点边值问题正解的存在性,给出这类边值问题存在至少两个正解的一个充分条件.In this paper,the existence of positive solutions to the nonlinear second-order ordinary differential equation three-point boundary value problem with change of sign is investigated by the applica-tion of the well-known Guo-Krasnosel’skii fixed-point theorem in cones,a sufficient condition for the exist-ence of at least two positive solutions is obtained.

关 键 词：二阶常微分方程 变号 三点边值问题 正解 格林函数 

分 类 号：O175[理学—数学]