一类半正二阶三点边值问题正解的存在性  

Existence of positive solution for a semipositive second-order three-point boundary value problem

作　　者：孙永平[1] 

机构地区：[1]杭州广播电视大学基础部,浙江杭州310012

出　　处：《浙江师范大学学报（自然科学版）》2004年第4期329-333,共5页Journal of Zhejiang Normal University:Natural Sciences

基　　金：国家自然科学基金资助项目(19871048);浙江省教育厅科研项目(20040495);山东省自然科学基金项目(Z2000A02)

摘　　要：研究了一类半正二阶非线性常微分方程的三点边值问题正解的存在性,利用Krasnosel′skii锥拉伸锥压缩型不动点定理得到了正解存在的2个充分条件.The existence of positive solution for a semipositive second-order three-point boundary value problem was investigated. By using Krasnosel'skii fixed point theorem, two sufficient conditions that guarantee the existence of at least one positive solution were obtained.

关 键 词：半正 正解的存在性 二阶三点边值问题 锥拉伸 锥压缩 不动点定理 充分条件 二阶非线性 

分 类 号：O175[理学—数学] O177.91[理学—基础数学]