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Inverse spectral problems for differential operators on arbitrary compact graphs

Author(s): Yurko, VA (Yurko, Vjacheslav Anatoljevich)

Inverse problems of spectral analysis are studied for Sturm-Liouville differential operators on arbitrary compact graphs. The uniqueness of recovering operators from their spectra is proved, and a constructive procedure for the solution of this class of inverse problems is provided.

Source:  JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 18 (3): 245-261 JUL 2010
Language:  English
Document Type:  Article
Author Keywords:  Sturm-Liouville operators; spatial networks; inverse spectral problems
KeyWords Plus:  STURM-LIOUVILLE OPERATORS; EQUATION; PENCILS; TREES
Addresses:  Saratov NG Chernyshevskii State Univ, Dept Math, Saratov 410026, Russia
Reprint Address:  : Yurko, VA, Saratov NG Chernyshevskii State Univ, Dept Math, Astrakhanskaya 83, Saratov 410026, Russia.
Funding Agency:  Qatar National Research Fund
Publisher:  WALTER DE GRUYTER & CO
Publisher Address:  GENTHINER STRASSE 13, D-10785 BERLIN, GERMANY
ISSN:  0928-0219
29-char Source Abbrev.:  J INVERSE ILL-POSED PROBL
ISO Source Abbrev.:  J. Inverse Ill-Posed Probl.
Subject Category:  Mathematics, Applied; Mathematics
ISI Document Delivery No.:  625JY

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