Spectral parameter power series for Sturm-Liouville problems

Spectral parameter power series for Sturm–Liouville equations on time scales

10.1016/j.amc.2012.01.037 ◽

2012 ◽

Vol 218 (14) ◽

pp. 7671-7678 ◽

Cited By ~ 7

Author(s):

Lynn Erbe ◽

Raziye Mert ◽

Allan Peterson

Keyword(s):

Power Series ◽

Time Scales ◽

Spectral Parameter ◽

Modified spectral parameter power series representations for solutions of Sturm–Liouville equations and their applications

10.1016/j.amc.2014.03.153 ◽

2014 ◽

Vol 238 ◽

pp. 82-105 ◽

Cited By ~ 3

Author(s):

Vladislav V. Kravchenko ◽

Sergii M. Torba

Keyword(s):

Power Series ◽

Spectral Parameter ◽

Series Representations ◽

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

Journal of Mathematical Physics ◽

10.1063/1.4927253 ◽

2015 ◽

Vol 56 (7) ◽

pp. 073508 ◽

Cited By ~ 8

Author(s):

Vladislav V. Kravchenko ◽

Sergii M. Torba ◽

Ulises Velasco-García

Keyword(s):

Power Series ◽

Spectral Parameter ◽

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

10.1016/j.amc.2012.09.055 ◽

2012 ◽

Vol 219 (8) ◽

pp. 3610-3624 ◽

Cited By ~ 16

Author(s):

Kira V. Khmelnytskaya ◽

Vladislav V. Kravchenko ◽

Jesús A. Baldenebro-Obeso

Keyword(s):

Power Series ◽

Spectral Parameter ◽

Fourth Order ◽

Dispersion equation and eigenvalues for the Zakharov-Shabat system using spectral parameter power series

Journal of Mathematical Physics ◽

10.1063/1.3602275 ◽

2011 ◽

Vol 52 (6) ◽

pp. 063517 ◽

Cited By ~ 15

Author(s):

Vladislav V. Kravchenko ◽

Ulises Velasco-García

Keyword(s):

Power Series ◽

Dispersion Equation ◽

Spectral Parameter ◽

Spectral Parameter Power Series

Spectral parameter power series analysis of isotropic planarly layered waveguides

Applicable Analysis ◽

10.1080/00036811.2013.794940 ◽

2013 ◽

Vol 93 (4) ◽

pp. 729-755 ◽

Cited By ~ 14

Author(s):

Víctor Barrera-Figueroa ◽

Vladislav V. Kravchenko ◽

Vladimir S. Rabinovich

Keyword(s):

Power Series ◽

Spectral Parameter ◽

Series Analysis ◽

Spectral Parameter Power Series

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

Journal of Optics ◽

10.1088/2040-8978/17/2/025607 ◽

2015 ◽

Vol 17 (2) ◽

pp. 025607 ◽

Cited By ~ 9

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

Method of the spectral parameter power series in problems of underwater acoustics of the stratified ocean

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3197 ◽

2014 ◽

Vol 38 (10) ◽

pp. 1990-1999 ◽

Cited By ~ 8

Author(s):

Vladimir S. Rabinovich ◽

Josué Hernández-Juárez

Keyword(s):

Power Series ◽

Spectral Parameter ◽

Underwater Acoustics ◽

Stratified Ocean

The phase retrieval problem: a spectral parameter power series approach

Journal of Engineering Mathematics ◽

10.1007/s10665-013-9644-7 ◽

2013 ◽

Vol 85 (1) ◽

pp. 179-209 ◽

Cited By ~ 2

Author(s):

Víctor Barrera-Figueroa ◽

Herminio Blancarte ◽

Vladislav V. Kravchenko

Keyword(s):

Power Series ◽

Spectral Parameter ◽

Phase Retrieval ◽

Retrieval Problem

Spectral parameter power series representation for solutions of linear system of two first order differential equations

10.1016/j.amc.2019.124911 ◽

2020 ◽

Vol 370 ◽

pp. 124911 ◽

Cited By ~ 1

Author(s):

Nelson Gutiérrez Jiménez ◽

Sergii M. Torba

Keyword(s):

Linear System ◽

Power Series ◽

Differential Equations ◽

Spectral Parameter ◽

Series Representation ◽

First Order ◽

First Order Differential Equations ◽

Power Series Representation