Recovering Differential Operators with Nonlocal Boundary Conditions

Vjacheslav Yurko; Chuan-Fu Yang

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arXiv · 1410.2017

Recovering Differential Operators with Nonlocal Boundary Conditions

Vjacheslav Yurko·Chuan-Fu Yang

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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.

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BibTeX RIS

Vjacheslav Yurko, Chuan-Fu Yang. 2014-10-08. Recovering Differential Operators with Nonlocal Boundary Conditions. https://arxiv.org/abs/1410.2017

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