Inverse Problems for Sturm-Liouville Difference Equations
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.
M. Bohner and H. Koyunbakan, "Inverse Problems for Sturm-Liouville Difference Equations," Filomat, vol. 30, no. 5, pp. 1297-1304, University of Nis, Jan 2016.
The definitive version is available at https://doi.org/10.2298/FIL1605297B
Mathematics and Statistics
Keywords and Phrases
Eigenvalue problem; Inverse problem; Spectrum; Symmetric potential; Transformation operator
International Standard Serial Number (ISSN)
Article - Journal
© 2016 University of Nis, All rights reserved.
01 Jan 2016