An inverse three spectra problem for Sturm-Liouville operators

作者：Guo, Yongxia; Wei, Guangsheng^*; Yao, Ruoxia

来源：Boundary Value Problems, 2018, 2018(1): 68.

DOI：10.1186/s13661-018-0987-x

• Sturm-Liouville problem
• Inverse three spectra problem
• Boundary condition

In this paper, we consider the inverse three spectra problems of recovering the Sturm-Liouville equation by the spectra of the Neumann-Dirichlet boundary value problem on [0,1], the Neumann-Robin problem on [0,1/2], and the Robin-Dirichlet problem on [1/2,1], where the two Robin parameters at the interior node x = 1/2 are considered to be different. The algorithm of construction is presented and sufficient conditions for three sequences to be the spectral data of the mentioned boundary problems are given.

• 出版日期2018-5-4
• 单位陕西师范大学