Acta Mathematica Scientia. Series A. Shuxue Wuli Xuebao. Chinese Edition (Acta Math. Sci. Ser. A (Chinese Ed.)) (20210101), 41, no.~2, 289-295. ISSN: 1003-3998 (print).
Subject
34 Ordinary differential equations -- 34B Boundary value problems 34B24 Sturm-Liouville theory 34B45 Boundary value problems on graphs and networks
47 Operator theory -- 47E Ordinary differential operators 47E05 Ordinary differential operators [See also 34Bxx, 34Lxx]
81 Quantum theory -- 81Q General mathematical topics and methods in quantum theory 81Q35 Quantum mechanics on special spaces: manifolds, fractals, graphs, etc.
Summary: ``This deals with the Sturm-Liouville operator on the quantum graphs with a loop. Given the potential on a part of edges, we try to recover the remaining potential from the subspectrum. The uniqueness theorem and a constructive algorithm for the solution of this partial inverse problem are provided.''