一类半正二阶三点边值问题的向下凸正解  

On concave positive solution of two-second three-point boundary value problem

作　　者：徐丛丛[1] 刘文斌[1] 黎定仕[1] 张伟伟[1] 

机构地区：[1]中国矿业大学理学院,江苏徐州221008

出　　处：《黑龙江科技学院学报》2009年第3期244-246,252,共4页Journal of Heilongjiang Institute of Science and Technology

基　　金：国家自然科学基金资助项目(10771212)

摘　　要：应用锥拉伸与压缩不动点定理,研究一类半正二阶三点边值问题向下凸正解的存在性,引入辅助函数讨论了更一般的奇异二阶三点边值问题,得到向下凸正解的存在性定理。该定理允许非线性项有一个负的下界,推广和改进了一些已知研究结果。This paper seeks to study the existence of concave positive solution of nonlinear semiposibive second-order three-point boundary value problem by using the theorem on cone expansion and compression and a fixed point theorem on cone. The discussion of a more general problem by using the method of auxiliary function leads to a suggested theorem which ensures that the two-second three-point boundary value problem has one concave positive solution. The theorem allow the nonlinearity to have a minus Lower bound, which helps to generalize and improve many known results.

关 键 词：三点边值问题 半正 向下凸正解 锥 

分 类 号：O175.8[理学—数学]