非线性奇异三点边值问题正解的存在性  

Existence of Positive Solutions for a Nonlinear Singular Three Point Boundary Value Problem

作　　者：李翠哲[1] 游丽霞[1] 

机构地区：[1]北京理工大学理学院,北京100081

出　　处：《北京理工大学学报》2004年第12期1107-1110,共4页Transactions of Beijing Institute of Technology

基　　金：国家自然科学基金资助项目(10371006)

摘　　要：研究非线性奇异三点边值问题正解的存在性.首先将边值问题转化为相应的算子方程,然后根据Kransnosel'skii不动点定理得出算子方程不动点的存在性,从而给出边值问题正解存在的充分条件.The existence of positive solutions for a nonlinear singular three point boundary value problem is studied. After turning the boundary value problems into equivalent operator equations, the existence of the fixed point for the operator equations is obtained. Besides, the sufficient conditions which guarantee the existence of positive solutions for this problem are provided.

关 键 词：非线性三点边值问题 奇异 锥 正解 

分 类 号：O175.8[理学—数学]