一类奇异非线性三点边值问题的多个正解

Existence of Multiple Positive Solutions for a Class of Singular Nonlinear Three-Point Boundary Value Problem

本文应用不动点指数定理得到了奇异非线性三点边值问题u″(t)+a(t)f(u)=0,0<t<1αu(0)-βu′(0)=0,u(1)-ku(η)=0多个正解存在的一个充分条件,这里η∈(0,1)是一个常数,a∈C((0,1),[0,+∞)),f∈C([0,+∞),[0,+∞)).

We employed the fixed-point theorem to obtain a sufficient condition of the existence of multiple positive solutions for a class of singular second-order three-point boundary value problem, u^n（t）＋a（t）f（u）=0,0〈t〈1 αu（0）-βu＇（0）=0,u（1）-ku（η）=0 ,whenη∈（0,1）is a constant,α∈C（（0,1）,[0,＋∞））,f∈C（[0,＋∞）,[0,＋∞））