一类奇异二阶三点方程组正解的存在性

Existence of Positive Solution for a Singular Second-Order Three-Point System

应用不动点理论,研究了下列奇异非线性二阶三点方程组边值问题u″(t)+a(t)f(t,u,v)=0,0<t<1,v″(t)+b(t)g(t,u,v)=0,0<t<1,u′(0)=v′(0)=0,u(1)+αu′(η)=v(1)+αv′(η)=0正解的存在性,其中0<η<1,并且允许a(t)、b(t)在t=0和t=1处奇异。

By using the fixed point theorem, we show the existence of positive solutions of a singular second-order three-point system,where 0 〈 η〈 1 ,and a（t） ,b（t） are singular at t =0,1.