具有变号非线性项的二阶三点边值问题的正解（英文）  

Positive Solutions for Second Order Three-point Boundary Value Problems With Sign-changing Nonlinearities

作　　者：李红玉[1] 赵梦田[1] 

机构地区：[1]山东科技大学数学系,青岛山东266590

出　　处：《数学进展》2017年第5期708-716,共9页Advances in Mathematics（China）

基　　金：supported by NSFC(No.11571207);the Research Award Fund for Outstanding Young Scientists of Shandong Province(No.BS2012SF022);the Project of Shandong Province Higher Educational Science and Technology Program(No.J11LA07)

摘　　要：利用拓扑度方法,结合分析边值条件,研究了一类具有变号非线性项的二阶三点边值问题的正解的存在性.In this paper, by using topological degree methods and analyzing the bound- ary value conditions, we study the existence of positive solutions for second order three-point boundary value problems with sign-changing nonlinearity.

关 键 词：三点边值问题 拓扑度方法 变号非线性项 

分 类 号：O175.8[理学—数学]