摘要
利用锥的 Krasnosel’skill不动点定理建立了二阶三点半正边值问题u″+λf (t,u) +δg(t,u) =0 ,t∈ (0 ,1) ,u(0 ) =0 ,αu(η) =u(1) .其中 ,λ,δ >0 ,0 <η <1,0 <αη <1正解的存在性 ,这里 ,非线性项不需要是非负的 .
In the paper, we establish the existence of positive solutions of the semipositone second-order three-point boundary value problems u″+λf(t,u)+δg(t,u)=0, u(0)=0, αu(η)=u(1), where λ>0, 0<η<1, 0<αη<1, Our approach is based on the Krasnosel’skii fixed point theorem in cones. Here, the nonlinear term need not be nonnegative.
出处
《数学研究》
CSCD
2004年第2期123-128,共6页
Journal of Mathematical Study
基金
the Natural Science Foundation of Shandong Province ofChina (Z2 0 0 0 A0 2 ) (Y2 0 0 1A0 3) (0 2 BS119)
关键词
三点边值问题
正解
半正
不动点
锥
Three-point boundary value problem
Positive solution
Semipositone
Fixed point
Cone
