Recovering Sturm-Liouville operators from spectra on a graph with a cycle

Journal Article · Sat Oct 31 00:00:00 EDT 2009 · Sbornik. Mathematics

DOI:https://doi.org/10.1070/SM2009V200N09ABEH004042; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)· OSTI ID:21301492

Yurko, Vyacheslav A ^[1]

---

1. Saratov State University, Saratov (Russian Federation)

An inverse problem of spectral analysis is studied for Sturm-Liouville differential operators on a graph with a cycle and with generalized matching conditions at the internal vertex. Theorems on the unique recovery of operators from a system of spectra are proved, and a constructive solution is obtained for this class of inverse problems. Bibliography: 26 titles.

• OSTI ID: 21301492
• Journal Information: Sbornik. Mathematics, Vol. 200, Issue 9; Other Information: DOI: 10.1070/SM2009v200n09ABEH004042; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
GRAPH THEORY
MATHEMATICAL SOLUTIONS
SPECTRA
STURM-LIOUVILLE EQUATION