关键词: 扩散算子, 逆谱问题, 唯一性定理, 重构算法

Abstract:

In this paper, we study the inverse spectral problem for the diffusion operator on a finite interval with the Robin-Dirichlet boundary conditions, and prove that a particular set of eigenvalues can uniquely determine the diffusion operator, and give the reconstruction algorithm.

Key words: Diffusion operator, Inverse spectral problem, Uniqueness theorem, Reconstruction algorithm