一类非线性项二阶边值问题正解的存在性  

Existence of Positive Solution to the Problem One Non-linear Second Order Boundary Value

作　　者：刘洪运[1] 冯喜忠[2] 

机构地区：[1]河南师范大学,河南新乡453000 [2]商丘职业技术学院,河南商丘476000

出　　处：《信阳师范学院学报（自然科学版）》2008年第3期334-337,共4页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(60572001)

摘　　要：利用上下解方法,构造相应锥映射,运用锥映射不动点定理,给出非线性项变号的二阶两点边值问题正解存在性的判定方法,推广了已有文献中相应的结果.The cone mapping is constructed by employing the upper-solution and lower-solution. Using the fixed point theorems of cone mapping, a method is given to decide the existence of positive solution of second order two points boundary value problem with sign change of nonlinearities. The resuits of existed literature is generalized.

关 键 词：两点边值问题 锥映射 不动点定理 正解 

分 类 号：O175.15[理学—数学]