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An Inverse Problem for Sturm-Liouville Operators on Arbitrary Compact Spatial Networks

Author(s): Yurko, VA (Yurko, V. A.) Source: DOKLADY MATHEMATICS, 81 (3): 410-413 JUN 2010

An inverse spectral problem is studied for Sturm-Liouville differential operators on arbitrary compact graphs (spatial networks). A uniqueness theorem of recovering operators from their spectra is proved, and a constructive procedure for the solution of the inverse problem is provided. 

Author(s):  Yurko, VA (Yurko, V. A.) 
Source:  DOKLADY MATHEMATICS, 81 (3): 410-413 JUN 2010 
Language:  English 
Document Type:  Article 
Author Keywords: Sturm-Liouville operators; spatial networks; inverse spectral problems
Keywords PLUS: GRAPHS; 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:  This research was supported in part by the Qatar National Research Fund, grant NPRP 08-345-1-067. 
Publisher:  MAIK NAUKA/INTERPERIODICA/SPRINGER 
Publisher Address:  233 SPRING ST, NEW YORK, NY 10013-1578 USA 
ISSN:  1064-5624 
29-char Source Abbrev.:  DOKL MATH 
ISO Source Abbrev.:  Dokl. Math. 
Subject Category:  Mathematics 
ISI Document Delivery No.:  674CU 
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