Partial inverse problems for the Sturm-Liouville operator on a star-shaped graph with different edge lengths
Sturm-Liouville operators with singular potentials are considered on a star-shaped graph. It is assumed that the potentials are known a priori on a part of the edges. Partial inverse problems are studied, that consist in recovering the potentials on the other edges from a fractional part of the spectrum and some additional spectral data. Three uniqueness theorems are proved, and algorithms for constructing solutions of this inverse problems are provided.
scientific article; zbMATH DE number 6909675
scientific article