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Haya H Al Muhannadi
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Inverse problems for Sturm-Liouville equations with boundary conditions polynomially dependent on the spectral parameter

Author(s): Freiling, G (Freiling, G.); Yurko, VA (Yurko, V. A.)

Sturm-Liouville differential operators in a finite interval with boundary conditions depending polynomially on the spectral parameter are studied. We establish the properties of the spectral characteristics and investigate three inverse problems of recovering the operator either from the so-called Weyl function, or from discrete spectral data or from two spectra. For these inverse problems we provide procedures for constructing their solutions by the method of spectral mappings.

Author(s):  Freiling, G (Freiling, G.); Yurko, VA (Yurko, V. A.)
Source:  INVERSE PROBLEMS, 26 (5): Art. No. 055003 MAY 2010
Language:  English
Document Type:  Article
KeyWords Plus:  EIGENVALUE PROBLEMS; EIGENPARAMETER
Addresses:  [Freiling, G.] Univ Duisburg Essen, Fac Math, D-47057 Duisburg, Germany; [Yurko, V. A.] Saratov Univ, Dept Math, Saratov 410012, Russia
Reprint Address:  Freiling, G, Univ Duisburg Essen, Fac Math, Campus Duisburg,Forsthausweg 2, D-47057 Duisburg, Germany.
Funding Agency:  Qatar National Research Fund
Publisher:  IOP PUBLISHING LTD
Publisher Address:  DIRAC HOUSE, TEMPLE BACK, BRISTOL BS1 6BE, ENGLAND
ISSN:  0266-5611
29-char Source Abbrev.:  INVERSE PROBL
ISO Source Abbrev.:  Inverse Probl.
Subject Category:  Mathematics, Applied; Physics, Mathematical
ISI Document Delivery No.:  588PU
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