摘要
研究了非线性二阶三点边值问题u″(t)+a(t)f(u)=0, t∈(0,1),u(0)=εu′(0), αu(η)=u(1)正解的存在性,其中ε≥0,0<η<1,0<α<(1+ε)/(η+ε).运用锥上的不动点定理证明了f在超线性或次线性增长情形下该问题至少存在一个正解.
The existence of positive solutions to the second order three-point boundary value problemu″(t)+a(t)f(u)=0,t∈(0,1), u(0)=εu′(0),αu(η)=u(1)is discussed, where ε≥0,0<η<1,0<α<(1+ε)/(η+ε).An existence theorem of at least one positive solution is obtained if f is either superlinear or sublinear by applying the fixed point theorem in a cone.
出处
《西北师范大学学报（自然科学版）》
CAS
2004年第2期10-14,共5页
Journal of Northwest Normal University(Natural Science)
基金
国家自然科学基金资助项目(10271095)
关键词
三点边值问题
正解
锥
不动点
three-point boundary value problem
positive solution
cone
fixed point
