Sergii M. Torba: search on Z-Library

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1

Spectral parameter power series for arbitrary order linear differential equations

Kravchenko, Vladislav V., Porter, R. Michael, Torba, Sergii M.

Journal:

Mathematical Methods in the Applied Sciences

Year:

2018

Language:

english

File:

PDF, 271 KB

english, 2018

2

Construction of Transmutation Operators and Hyperbolic Pseudoanalytic Functions

Kravchenko, Vladislav V., Torba, Sergii M.

Journal:

Complex Analysis and Operator Theory

Year:

2015

Language:

english

File:

PDF, 1.25 MB

english, 2015

3

A Neumann series of Bessel functions representation for solutions of Sturm–Liouville equations

Kravchenko, Vladislav V., Torba, Sergii M.

Journal:

Year:

2018

Language:

english

File:

PDF, 605 KB

english, 2018

4

Representation of solutions to the one-dimensional Schrödinger equation in terms of Neumann series of Bessel functions

Kravchenko, Vladislav V., Navarro, Luis J., Torba, Sergii M.

Journal:

Applied Mathematics and Computation

Year:

2017

Language:

english

File:

PDF, 916 KB

english, 2017

5

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

Kravchenko, Vladislav V., Torba, Sergii M., Velasco-García, Ulises

Journal:

Journal of Mathematical Physics

Year:

2015

Language:

english

File:

PDF, 2.22 MB

english, 2015

6

Transmutations for Darboux transformed operators with applications

Kravchenko, Vladislav V, Torba, Sergii M

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2012

Language:

english

File:

PDF, 302 KB

english, 2012

7

Modulated electromagnetic fields in inhomogeneous media, hyperbolic pseudoanalytic functions, and transmutations

Khmelnytskaya, Kira V., Kravchenko, Vladislav V., Torba, Sergii M.

Journal:

Journal of Mathematical Physics

Year:

2016

Language:

english

File:

PDF, 2.55 MB

english, 2016

8

Generalized wave polynomials and transmutations related to perturbed Bessel equations

Kravchenko, Vladislav V., Torba, Sergii M., Santana-Bejarano, Jessica Yu.

Journal:

Mathematical Methods in the Applied Sciences

Year:

2018

Language:

english

File:

PDF, 495 KB

english, 2018

9

[IEEE 2012 International Conference on Mathematical Methods in Electromagnetic Theory (MMET) - Kharkiv, Ukraine (2012.08.28-2012.08.30)] 2012 International Conference on Mathematical Methods in Electromagnetic Theory - Spectral problems in inhomogeneous media, spectral parameter power series and transmutation operators

Kravchenko, Vladislav V., Torba, Sergii M.

Year:

2012

Language:

english

File:

PDF, 606 KB

english, 2012

10

Liouville transformation, analytic approximation of transmutation operators and solution of spectral problems

Kravchenko, Vladislav V., Morelos, Samy, Torba, Sergii M.

Journal:

Applied Mathematics and Computation

Year:

2016

Language:

english

File:

PDF, 490 KB

english, 2016

11

Non-Archimedean Coulomb gases

Zúñiga-Galindo, W. A., Torba, Sergii M.

Journal:

Journal of Mathematical Physics

Year:

2020

Language:

english

File:

PDF, 5.46 MB

english, 2020

12

Spectral parameter power series for perturbed Bessel equations

Castillo-Pérez, Raúl, Kravchenko, Vladislav V., Torba, Sergii M.

Journal:

Applied Mathematics and Computation

Year:

2013

Language:

english

File:

PDF, 1.05 MB

english, 2013

13

Analytic approximation of transmutation operators and related systems of functions

Kravchenko, Vladislav V., Torba, Sergii M.

Journal:

Boletín de la Sociedad Matemática Mexicana

Year:

2016

Language:

english

File:

PDF, 905 KB

english, 2016

14

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

Gutiérrez Jiménez, Nelson, Torba, Sergii M.

Journal:

Applied Mathematics and Computation

Year:

2020

File:

PDF, 497 KB

2020

15

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

Castillo-Pérez, Raúl, Kravchenko, Vladislav V, Torba, Sergii M

Journal:

Journal of Optics (IOPscience)

Year:

2015

Language:

english

File:

PDF, 602 KB

english, 2015

16

Analytic approximation of transmutation operators and applications to highly accurate solution of spectral problems

Kravchenko, Vladislav V., Torba, Sergii M.

Journal:

Journal of Computational and Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 868 KB

english, 2015

17

A representation of the transmutation kernels for the Schrödinger operator in terms of eigenfunctions and applications

Khmelnytskaya, Kira V., Kravchenko, Vladislav V., Torba, Sergii M.

Journal:

Applied Mathematics and Computation

Year:

2019

Language:

english

File:

PDF, 428 KB

english, 2019

18

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

Kravchenko, Vladislav V., Torba, Sergii M.

Journal:

Applied Mathematics and Computation

Year:

2014

Language:

english

File:

PDF, 753 KB

english, 2014

19

Transmutations, L-bases and complete families of solutions of the stationary Schrödinger equation in the plane

Hugo M. Campos, Vladislav V. Kravchenko, Sergii M. Torba

Journal:

Journal of Mathematical Analysis and Applications

Year:

2012

Language:

english

File:

PDF, 247 KB

english, 2012

20

Wave polynomials, transmutations and Cauchy’s problem for the Klein–Gordon equation

Kira V. Khmelnytskaya, Vladislav V. Kravchenko, Sergii M. Torba, Sébastien Tremblay

Journal:

Journal of Mathematical Analysis and Applications

Year:

2013

Language:

english

File:

PDF, 798 KB

english, 2013

21

A Neumann series of Bessel functions representation for solutions of perturbed Bessel equations

Kravchenko, Vladislav V., Torba, Sergii M., Castillo-Pérez, Raúl

Journal:

Applicable Analysis

Year:

2017

Language:

english

File:

PDF, 2.60 MB

english, 2017

22

A method for computation of scattering amplitudes and Green functions of whole axis problems

Castillo Pérez, Raúl, Kravchenko, Vladislav V., Torba, Sergii M.

Journal:

Mathematical Methods in the Applied Sciences

Year:

2019

File:

PDF, 695 KB

2019

23

Analytic Approximation of Solutions of Parabolic Partial Differential Equations with Variable Coefficients

Kravchenko, Vladislav V., Otero, Josafath A., Torba, Sergii M.

Journal:

Advances in Mathematical Physics

Year:

2017

Language:

english

File:

PDF, 2.82 MB

english, 2017

24

Asymptotics with respect to the spectral parameter and Neumann series of Bessel functions for solutions of the one-dimensional Schrödinger equation

Kravchenko, Vladislav V., Torba, Sergii M.

Journal:

Journal of Mathematical Physics

Year:

2017

Language:

english

File:

PDF, 454 KB

english, 2017

25

A representation of the transmutation kernels for the Schrödinger operator in terms of eigenfunctions and applications

Khmelnytskaya, Kira V., Kravchenko, Vladislav V., Torba, Sergii M.

Journal:

Applied Mathematics and Computation

Year:

2019

File:

PDF, 428 KB

2019

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