Inverse problems for Sturm-Liouville operators on a compact equilateral graph by partial nodal data

摘要

Partial inverse nodal problems for Sturm-Liouville operators on a compact equilateral star graph are investigated in this paper. Uniqueness theorems from partial twin-dense nodal subsets in interior subintervals or arbitrary interior subintervals having the central vertex are proved. In particular, we posed and solved a new type partial inverse nodal problems for the Sturm-Liouville operator on the compact equilateral star graph.