中文摘要：

研究Sturm-Liouville问题特征值与特征函数的性质,Sturm-Liouville特征值问题与二阶微分方程特征值问题的联系。通过对这些性质的研究,不依赖于对微分方程特征值和特征函数的求解,只凭方程本身的一些特征就可以确定特征值和特征函数的有关性质。

英文摘要：

The properties of eigenvalue and eigenfunction of Sturm-Liouville problems and the relations between eigenvalue problems of Sturm-Liouville eigenvalue problems and second - order differential equations are studied. The research of properties doesn＇ t depend on the solving of eigenvalue and eigenfunction of differential equations, but only depends on some feature of the equation itself.