POSITIVE SOLUTIONS OF THREE-POINT BOUNDARY VALUE PROBLEM FOR SECOND ORDER DIFFERENTIAL EQUATIONS WITH AN ADVANCED ARGUMENT  

作　　者：Zhu Lifei Li YongkunDept. of Math., Yunnan Univ., Yunnan 650091,China. 

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2003年第4期383-389,共7页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Sciences Foundation of China( 1 0 0 61 0 0 4 ) and the Natural SciencesFoundation of Yunnan Province

摘　　要：By using the Krasnoselskii's fixed point theorem for cones,conditions for the existence of positive solutions to the three-point boundary value problem for second order differential equation with an advanced argumentu″(t)+λa(t)f(u(h(t)))=0, t∈(0,1), u(0)=0, αu(η)=u(1),where 0<η<1,0<α<1η and t≤h(t)≤1 are obtained.By using the Krasnoselskii's fixed point theorem for cones,conditions for the existence of positive solutions to the three-point boundary value problem for second order differential equation with an advanced argumentu″(t)+λa(t)f(u(h(t)))=0, t∈(0,1), u(0)=0, αu(η)=u(1),where 0<η<1,0<α<1η and t≤h(t)≤1 are obtained.

关 键 词：three-point boundary value problem positive solution fixed point theorem 

分 类 号：O175.23[理学—数学]