一类奇异非线性三点边值问题的多个正解  

EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS FOR A CLASS OF SINGULAR THREE- POINT BOUNDARY VALUE PROBLEM

作　　者：杨樱花[1] 范进军[1] 

机构地区：[1]山东师范大学数学科学学院,济南250014

出　　处：《山东师范大学学报（自然科学版）》2009年第1期10-13,共4页Journal of Shandong Normal University(Natural Science)

摘　　要：通过利用Leggett—Williams定理，对一类非线性奇异二阶三点边值问题建立了3个正解以及2n-1个正解的存在性定理，并对所得结果给出了例子。By using Leggett - Williams theorem, the existence of three positive solutions and muhiplicity for a class of singular second - order three - point boundary value problem is established, and an example of the results is given.

关 键 词：奇异非线性三点边值问题 Leggett—Williams定理 多个正解 

分 类 号：O175.8[理学—数学]