双参数奇异多点边值问题正解的存在性  

Existence of Positive Solutions for Singular Multi-point Boundary Value Problems with Two Parameters

作　　者：张丽娟[1] 闫丽[2] 

机构地区：[1]白城师范学院数学系,吉林白城137000 [2]吉林农业大学信息技术学院,长春130118

出　　处：《吉林大学学报（理学版）》2011年第4期664-668,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10571021)

摘　　要：利用非线性Leray-Schauder抉择定理和锥不动点定理研究一类具有双参数奇异多点边值问题,在一定的条件下得到了双参数奇异多点边值问题正解的存在性.We studied singular multi-point boundary value problems with two parameters.The existence of the solution was obtained with the help of a nonlinear alternative of Leray-Schauder and the Krasnoselskii fixed point theorem in cones.It was proved that such a problem has positive solutions under our reasonable conditions.

关 键 词：边值问题 正解 锥不动点定理 

分 类 号：O175.8[理学—数学]