Inverse problems for Sturm-Liouville difference equations Article Swipe
Related Concepts
Mathematics
Sturm–Liouville theory
Eigenvalues and eigenvectors
Inverse
Dirichlet distribution
Mathematical analysis
Boundary value problem
Pure mathematics
Applied mathematics
Geometry
Quantum mechanics
Physics
Martin Böhner
,
Hikmet Koyunbakan
·
YOU?
·
· 2016
· Open Access
·
· DOI: https://doi.org/10.2298/fil1605297b
· OA: W1894050353
YOU?
·
· 2016
· Open Access
·
· DOI: https://doi.org/10.2298/fil1605297b
· OA: W1894050353
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.
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