一类非线性二阶三点边值问题的多重正解  

The Multiple Positive Solutions for a Class of Nonlinear Second-Order Three-Point Boundary Value Problem

作　　者：桑彦彬[1] 张克梅[2] 

机构地区：[1]中北大学数学系,山西太原030051 [2]曲阜师范大学数学系,山东曲阜273165

出　　处：《数学研究》2007年第4期432-435,共4页Journal of Mathematical Study

基　　金：国家自然科学基金(10371066)

摘　　要：利用锥映射的不动点指数定理,建立了一类三点边值问题多个正解的存在性定理.改进和推广了文献[1][2]的相关结果.This paper establishes the existence of multiple positive solutions of a class of nonlinear threepoint boundary value problems by means of the fixed point index theorem on cones. The results presented in this paper essentially improve and generalize the known results.

关 键 词：三点边值问题 不动点指数定理 正解 

分 类 号：O175.8[理学—数学]