Recovering Differential Operators with Nonlocal Boundary Conditions
Spectral Theory
2014-10-09 v1
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.
Cite
@article{arxiv.1410.2017,
title = {Recovering Differential Operators with Nonlocal Boundary Conditions},
author = {Vjacheslav Yurko and Chuan-Fu Yang},
journal= {arXiv preprint arXiv:1410.2017},
year = {2014}
}
Comments
12 pages