In this paper,we study the inverse spectral problems of the non-selfadjoint discontinuous Sturm-Liouville operator with boundary conditions dependent on spectral parameters.Firstly,using the basic solutions and the asymptotic estimations,we give the generalized normal constant and generalized spectral data.Secondly,we prove the expression of the Weyl function and its corresponding uniqueness theorem.Finally,we design the reconstruction algorithms of the potential function,boundary condition parameters,and transmission condition coefficients.
关键词
非自伴Sturm-Liouville算子/依赖谱参数的边界条件/转移条件/唯一性定理/逆谱问题
Key words
non-selfadjoint Sturm-Liouville operator/boundary condition dependent on the spectral param-eter/transmission condition/uniqueness theorem/inverse spectral problem
维普
万方数据