摘要
本文运用Schauder不动点定理讨论了一类带导数项的非齐次二阶边值问题:u″+a(t)f(t,u,u′)=0,0<t<1,u(0)=a>0,u(1)=b>0.正解的存在性。其中:f关于u是超线性增长的.
The existence of positive solutions has been discussed in the paper for a class of non-homogenous boundary value problem with a derivative argument:u″+a(t)f(t,u,u′)=0,0<t<1,u(0)=a>0,u(1)=b>0.Where f is superlinear on u.Our approach is based on the Shauder fixed point theorem.
出处
《青海师范大学学报（自然科学版）》
2004年第1期4-7,共4页
Journal of Qinghai Normal University(Natural Science Edition)
关键词
二阶边值问题
不动点
正解
存在性
The second-order BVP
Fixed points
Positive solutions
Existence
