三阶三点奇异半正边值问题的正解  

Positive Solution for Thrid-order Three-point Singular Semipositone Boundary Value Problem

作　　者：刘衍胜[1] 于慧敏[1] 闫宝强[1] 

机构地区：[1]山东师范大学数学系,济南250014

出　　处：《科学技术与工程》2004年第5期331-333,共3页Science Technology and Engineering

基　　金：国家自然科学基金 (10 1710 5 7);山东省自然科学基金 (Z2 0 0 0A0 2 )资助

摘　　要：利用锥拉伸锥压缩不动点定理 ,研究了三阶三点奇异半正边值问题x (t) - f(t,x) =0 ,　　　　t∈ (0 ,1 ) ,x(0 ) =x′(η) =x″(1 ) =0。正解的存在性。其中 12 <η<1 ,f(t,x)在t=0和t=1处有奇异 ,在某些t和x处 f(t,x)By using fixed point theorem of cone expansion\|compression type, the existence of positive solution for thrid\|order three\|point singular semipositone BVP is investigated:x(t)-f(t,x)=0, t∈(0,1), x(0)=x′(η)=x″(1)=0.where 12< η <1. The nonlinear term f(t,x) may be singular at t =0 and t =1, also may be negative for some value of t and x .

关 键 词：三阶三点奇异半正边值 锥拉伸 锥压缩 不动点定理 正解 全连续算子 BANACH空间 

分 类 号：O177.91[理学—数学]