Inverse spectral problem for Sturm-Liouville operator with coupled eigenparameter-dependent boundary conditions of Atkinson type

摘要

This paper is devoted to the inverse spectral theory for Sturm-Liouville problems of Atkinson type with coupled eigenparameter-dependent boundary conditions. By using the so called matrix representations of the Sturm-Liouville problems with coupled eigenparameter-dependent boundary conditions and certain type of inverse matrix eigenvalue problems, the corresponding Sturm-Liouville problems are constructed by using two sets of interlacing real numbers and certain conditions.