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Recovering differential operators with nonlocal boundary conditions

Recovering differential operators with nonlocal boundary conditions Inverse spectral problems for Sturm–Liouville operators with nonlocal boundary conditions are studied. As the main spectral characteristics we introduce the so-called Weyl-type function and two spectra, which are generalizations of the well-known Weyl function and Borg’s inverse problem for the classical Sturm–Liouville operator. Two uniqueness theorems of inverse problems from the Weyl-type function and two spectra are presented and proved, respectively. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Analysis and Mathematical Physics Springer Journals

Recovering differential operators with nonlocal boundary conditions

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Publisher
Springer Journals
Copyright
Copyright © 2015 by Springer Basel
Subject
Mathematics; Analysis; Mathematical Methods in Physics
ISSN
1664-2368
eISSN
1664-235X
DOI
10.1007/s13324-015-0120-6
Publisher site
See Article on Publisher Site

Abstract

Inverse spectral problems for Sturm–Liouville operators with nonlocal boundary conditions are studied. As the main spectral characteristics we introduce the so-called Weyl-type function and two spectra, which are generalizations of the well-known Weyl function and Borg’s inverse problem for the classical Sturm–Liouville operator. Two uniqueness theorems of inverse problems from the Weyl-type function and two spectra are presented and proved, respectively.

Journal

Analysis and Mathematical PhysicsSpringer Journals

Published: Nov 14, 2015

References