Title

Inverse Problems for Sturm-Liouville Difference Equations

Abstract

We consider a discrete Sturm-Liouville problem with Dirichlet boundary conditions. We show that the specification of the eigenvalues and weight numbers uniquely determines the potential. Moreover, we also show that if the potential is symmetric, then it is uniquely determined by the specification of the eigenvalues. These are discrete versions of well-known results for corresponding differential equations.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Eigenvalue problem; Inverse problem; Spectrum; Symmetric potential; Transformation operator

International Standard Serial Number (ISSN)

0354-5180; 2406-0933

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2016 University of Nis, All rights reserved.

Publication Date

01 Jan 2016

Share

 
COinS