陕西师范大学学报（自然科学版）Issue(4)：1-5,5.
非连续Sturm-Liouville算子的谱分布及其逆特征值问题
The spectral distribution and the inverse eigenvalue problem for the discontinuous Sturm-Liouville operators
摘要
Abstract
The eigenvalue and the inverse eigenvalue problems of the Sturm-Liouville operators defined respectively on[0,1][0,t0 ]and [t0 ,1]are considered.By using the monotonicity of the Weyl-Titchmarsh-m-function,it is shown that the three spectra are alternate,and the potential q (x)and the parameters h,H in the boundary conditions can be uniquely determined by the three spectra if the spectra of the operators defined on subintervals are disjoint.关键词
Sturm-Liouville算子/界面条件/特征值/Herglotz 函数/逆特征值问题Key words
Sturm-Liouville operator/jump condition/eigenvalue/function of Herglotz/the in-verse eigenvalue problem分类
数理科学引用本文复制引用
魏朝颖,魏广生..非连续Sturm-Liouville算子的谱分布及其逆特征值问题[J].陕西师范大学学报（自然科学版）,2014,(4):1-5,5.基金项目
国家自然科学基金资助项目（10771165）；陕西省教育厅科研计划项目（2013JK0563）；中央高校基本科研业务费专项资金项目（GK201304001）． （）
