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中文摘要：
利用Leggett-Williams不动点定理研究了四阶奇异微分方程边值问题{（p（t）u″（t））′=g（t）f（t,u（t）,u′（t）,u″（t））,0〈t〈1,u（0）=u（1）=0,au″（0）－b lim t→0＋ p（t）u″（t）=0,cu″（1）－d lim t→1- p（t）u″（t）=0三个正解的存在性，所得结果推广了相关的已知结果。
英文摘要：
In this paper, by using the Leggett-Williams fixed point theorem, following fourth-order sin-gular boundary value problem {（p（t）u″（t））′=g（t）f（t,u（t）,u′（t）,u″（t））,0〈t〈1,u（0）=u（1）=0,au″（0）-b lim t→0＋ p（t）u″（t）=0,cu″（1）-d lim t→1- p（t）u″（t）=0 A new result on the existence of at least triple positive solutions for this class of differential equations is derived.
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