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Recovering singular Sturm-Liouville differential pencils from spectral data

Recovering singular Sturm-Liouville differential pencils from spectral data Non-self-adjoint Sturm-Liouville differential operators on the half-line with a boundary condition depending polynomially on the spectral parameter are studied. We establish properties of the spectral characteristics and investigate the inverse problem of recovering the operator from the spectral data. For this inverse problem we prove the uniqueness theorem and provide a procedure for constructing the solution by the method of spectral mappings. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Analysis and Mathematical Physics Springer Journals

Recovering singular Sturm-Liouville differential pencils from spectral data

Analysis and Mathematical Physics , Volume 1 (1) – Feb 16, 2011

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Publisher
Springer Journals
Copyright
Copyright © 2011 by Springer Basel AG
Subject
Mathematics; Analysis; Mathematical Methods in Physics
ISSN
1664-2368
eISSN
1664-235X
DOI
10.1007/s13324-011-0004-3
Publisher site
See Article on Publisher Site

Abstract

Non-self-adjoint Sturm-Liouville differential operators on the half-line with a boundary condition depending polynomially on the spectral parameter are studied. We establish properties of the spectral characteristics and investigate the inverse problem of recovering the operator from the spectral data. For this inverse problem we prove the uniqueness theorem and provide a procedure for constructing the solution by the method of spectral mappings.

Journal

Analysis and Mathematical PhysicsSpringer Journals

Published: Feb 16, 2011

References