本文研究当p（x）是区间[0,1]上的分段线性函数时,非线性Sturm-Liouville边值问题解的存在性。文中证明了在其非线性项f（u（x））满足超线性条件时,非线性Sturm-Liouville边值问题至少存在一个正解。%This paper studies the existence of solutions to nonlinear Sturm-Liouville＇s boundary value problems where p（x） is a segmentation linear function on interval .This paper also proves that nonlinear Sturm-Liouville＇s boundary value problems have at least one positive solution when the nonlinear term f（u（x）） satisfies superlinear conditions.
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