非线性Sturm-Liouville边值问题在其参数存在间断性时解的存在性研究

Studying for the Existence of Solutions to Nonlinear Sturm-Liouville's Boundary Value Problems with Piecewise Parameter

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.