scholarly journals Inverse problems for Jacobi operators with mixed spectral data

2021 ◽  
pp. 1-21
Author(s):  
Burak Hatinoğlu
Keyword(s):  
Inverse Problems ◽  
Spectral Data ◽  
Jacobi Operators

scholarly journals Inverse problems for Jacobi operators IV: interior mass-spring perturbations of semi-infinite systems

2017 ◽  
Vol 33 (5) ◽  
pp. 055014
Author(s):  
Rafael del Rio ◽  
Mikhail Kudryavtsev ◽  
Luis O Silva
Keyword(s):  
Inverse Problems ◽  
Jacobi Operators ◽  
Infinite Systems ◽  
Mass Spring

scholarly journals On Inverse Sturm-Liouville Problems with Spectral Parameter Linearly Contained in the Boundary Conditions

2011 ◽  
Vol 2011 ◽  
pp. 1-23 ◽  
Author(s):  
I. Dehghani Tazehkand ◽  
A. Jodayree Akbarfam
Keyword(s):  
Inverse Problems ◽  
Boundary Conditions ◽  
Spectral Data ◽  
Potential Function ◽  
Spectral Parameter ◽  
Weyl Function ◽  
Uniqueness Theorems ◽  
Method Of Spectral Mappings ◽  
Sturm Liouville

In this paper, we study Sturm-Liouville problems with spectral parameter linearly contained in one of the boundary conditions. We prove uniqueness theorems for the solution of the inverse problems according to the Weyl function, spectral data, and two spectra. Then, we recover the potential function and coefficients of boundary conditions from the spectral data by the method of spectral mappings.

scholarly journals Inverse problems for Jacobi operators III: Mass-spring perturbations of semi-infinite systems

2012 ◽  
Vol 6 (4) ◽  
pp. 599-621 ◽  
Author(s):  
Rafael del Rio ◽  
◽  
Mikhail Kudryavtsev ◽  
Luis O. Silva ◽  
Keyword(s):  
Inverse Problems ◽  
Jacobi Operators ◽  
Infinite Systems ◽  
Mass Spring
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