scholarly journals Spectral parameter power series for Sturm-Liouville equations with a potential polynomially dependent on the spectral parameter and Zakharov-Shabat systems

2015 ◽  
Vol 56 (7) ◽  
pp. 073508 ◽  
Author(s):  
Vladislav V. Kravchenko ◽  
Sergii M. Torba ◽  
Ulises Velasco-García
Keyword(s):  
Power Series ◽  
Spectral Parameter ◽  
Spectral Parameter Power Series ◽  
Sturm Liouville

Spectral parameter power series for fourth-order Sturm–Liouville problems

2012 ◽  
Vol 219 (8) ◽  
pp. 3610-3624 ◽  
Author(s):  
Kira V. Khmelnytskaya ◽  
Vladislav V. Kravchenko ◽  
Jesús A. Baldenebro-Obeso
Keyword(s):  
Power Series ◽  
Spectral Parameter ◽  
Fourth Order ◽  
Spectral Parameter Power Series ◽  
Sturm Liouville

Spectral parameter power series analysis of isotropic planarly layered waveguides

2013 ◽  
Vol 93 (4) ◽  
pp. 729-755 ◽  
Author(s):  
Víctor Barrera-Figueroa ◽  
Vladislav V. Kravchenko ◽  
Vladimir S. Rabinovich
Keyword(s):  
Power Series ◽  
Spectral Parameter ◽  
Series Analysis ◽  
Spectral Parameter Power Series

scholarly journals Analysis of graded-index optical fibers by the spectral parameter power series method

2015 ◽  
Vol 17 (2) ◽  
pp. 025607 ◽  
Author(s):  
Raúl Castillo-Pérez ◽  
Vladislav V Kravchenko ◽  
Sergii M Torba
Keyword(s):  
Power Series ◽  
Optical Fibers ◽  
Spectral Parameter ◽  
Series Method ◽  
Power Series Method ◽  
Graded Index ◽  
Spectral Parameter Power Series

The phase retrieval problem: a spectral parameter power series approach

2013 ◽  
Vol 85 (1) ◽  
pp. 179-209 ◽  
Author(s):  
Víctor Barrera-Figueroa ◽  
Herminio Blancarte ◽  
Vladislav V. Kravchenko
Keyword(s):  
Power Series ◽  
Spectral Parameter ◽  
Phase Retrieval ◽  
Spectral Parameter Power Series ◽  
Retrieval Problem
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