一类二阶三点奇异边值问题的多个正解

Multiple positive solutions to singular boundary value problems of a class of second order three-point differential equations

应用锥上不动点定理,给出了二阶三点奇异边值问题至少有两个C1[0,1]正解的存在性．这里η∈(0,1)是一个常数,λ1∈(0,1),λ2∈(1,∞),α∈C((0,1), [0,∞)).

Using the fixed point theorem of cone expansion and compression of norm type, the existence of multiple C^1 [0, 1] positive solutions are given to singular three-point boundary value problems of a class of second order differential equationswhere {x＂（t）＋a（t）（x^λ1（t）＋x^λ2（t））=0,0〈t〈1, x（0）=0,x（1）=kx（η） η∈（0,1） is a constant, λ1∈（0,1）,λ2∈（1,∞）,a∈G（（0,1）,[0,∞））.