scholarly journals On the basis property of the system of eigenfunctions of a spectral problem with spectral parameter in the boundary condition

2007 ◽  
Vol 43 (7) ◽  
pp. 905-915 ◽  
Author(s):  
N. B. Kerimov ◽  
Z. S. Aliev
Keyword(s):  
Boundary Condition ◽  
Spectral Problem ◽  
Spectral Parameter ◽  
Basis Property

scholarly journals Inverse spectral problem for Dirac operators by spectral data

Filomat ◽  
2017 ◽  
Vol 31 (4) ◽  
pp. 1065-1077
Author(s):  
Ozge Akcay ◽  
Khanlar Mamedov
Keyword(s):  
Boundary Condition ◽  
Inverse Problem ◽  
Spectral Problem ◽  
Spectral Data ◽  
Spectral Parameter ◽  
Inverse Spectral Problem ◽  
Sufficient Conditions ◽  
Dirac Operators ◽  
Piecewise Continuous ◽  
Necessary And Sufficient

This work deals with the solution of the inverse problem by spectral data for Dirac operators with piecewise continuous coefficient and spectral parameter contained in boundary condition. The main theorem on necessary and sufficient conditions for the solvability of inverse problem is proved. The algorithm of the reconstruction of potential according to spectral data is given.

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