Reconstruction of the Sturm-Liouville operator with discontinuities from a particular set of eigenvalues
Sturm-Liouville operators on a finite interval with discontinuities are considered. We give a uniqueness theorem for determining the potential and the parameters in boundary and under discontinuous conditions from a particular set of eigenvalues, and provide corresponding reconstruction algorithm, which can be applicable to McLaughlin-Rundell's uniqueness theorem (see J. Math. Phys. 28, 1987).
关键词：
Sturm-Liouville operator ,
,
discontinuous condition ,
inverse spectral problem ,
reconstruction algorithm
