On the uniform convergence of the Fourier series for one spectral problem with a spectral parameter in a boundary condition

2015 ◽  
Vol 39 (9) ◽  
pp. 2298-2309 ◽  
Author(s):  
Nazim B. Kerimov ◽  
Emir A. Maris
Keyword(s):  
Boundary Condition ◽  
Fourier Series ◽  
Uniform Convergence ◽  
Spectral Problem ◽  
Spectral Parameter

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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