两区间上Sturm-Liouville问题的特征值的依赖性

The dependence of eigenvalues of Sturm-Liouville problem on two intervals

本文考虑了两区间上Sturm-Liouville问题的特征值关于各个参数的依赖性问题.将边界条件分为四点全部分离以及两点分别耦合的两种情况,给出了问题的特征值关于系数函数以及这两类边界条件的各个参数的连续性以及微分表达式.

This paper considers the dependence of the eigenvalues of the Sturm-Liouville problem on each parameter on two intervals.The boundary conditions are divided into two cases where all four points are separated and where two points are coupled separately,and the eigenvalues of the problem are given with respect to the coefficient function and the continuity and differential expression of each parameter of these two types of boundary conditions.