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An inverse spectral problem for Sturm–Liouville operators with a large constant delay

An inverse spectral problem for Sturm–Liouville operators with a large constant delay We consider the Sturm–Liouville differential equation with a constant delay, which is not less than the half length of the interval. An inverse spectral problem is studied of recovering the potential from subspectra of two boundary value problems with one common boundary condition. The conditions on arbitrary subspectra are obtained that are necessary and sufficient for the unique determination of the potential by specifying these subspectra, and a constructive procedure for solving the inverse problem is provided along with necessary and sufficient conditions of its solvability. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Analysis and Mathematical Physics Springer Journals

An inverse spectral problem for Sturm–Liouville operators with a large constant delay

Analysis and Mathematical Physics , Volume 9 (1) – May 23, 2017

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Publisher
Springer Journals
Copyright
Copyright © 2017 by Springer International Publishing
Subject
Mathematics; Analysis; Mathematical Methods in Physics
ISSN
1664-2368
eISSN
1664-235X
DOI
10.1007/s13324-017-0176-6
Publisher site
See Article on Publisher Site

Abstract

We consider the Sturm–Liouville differential equation with a constant delay, which is not less than the half length of the interval. An inverse spectral problem is studied of recovering the potential from subspectra of two boundary value problems with one common boundary condition. The conditions on arbitrary subspectra are obtained that are necessary and sufficient for the unique determination of the potential by specifying these subspectra, and a constructive procedure for solving the inverse problem is provided along with necessary and sufficient conditions of its solvability.

Journal

Analysis and Mathematical PhysicsSpringer Journals

Published: May 23, 2017

References