奇异次线性三点边值问题的正解  

Positive Solution of the Singular Sublinear Three-point Boundary Value Problem

作　　者：杨樱花[1] 范进军[1] 艾露露[1] 

机构地区：[1]山东师范大学数学科学学院,济南250014

出　　处：《科学技术与工程》2008年第16期4610-4612,共3页Science Technology and Engineering

摘　　要：利用锥拉压不动点定理,讨论了三点边值问题{u″(t)+a(t)f(u(h(t)))=0,t∈(0,1)u(0)=0,αu(η)=u(1)。正解的存在性,其中η∈(0,1),α>0且1-αη>0,不仅a(t)可以在t=0,1处奇异,并允许f(u)在u=0处奇异。The existence of a positive solution of the singular three-point boundary value problem{u″（t）＋a（t）f（u（h（t）））=0,t∈（0,1）u（0）=0,αu（η）=u（1）is investigated by using the fixed-point theorem of the cone expansion-compression,where η∈（0,1）,α〉0 and 1-αη〉0,a（t）is allowed to be singular at t=0,1 and f（u）may be singular at u=0.

关 键 词：二阶三点奇异方程 锥 正解 

分 类 号：O175.8[理学—数学]