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Kira Khmelnytskaya
Kira Khmelnytskaya
Verified email at uaq.edu.mx
Title
Cited by
Cited by
Year
On a quaternionic Maxwell equation for the time-dependent electromagnetic field in a chiral medium
SM Grudsky, KV Khmelnytskaya, VV Kravchenko
Journal of Physics A: Mathematical and General 37 (16), 4641, 2004
672004
Eigenvalue problems, spectral parameter power series, and modern applications
KV Khmelnytskaya, VV Kravchenko, HC Rosu
Mathematical methods in the applied sciences 38 (10), 1945-1969, 2015
552015
Efficient calculation of the reflectance and transmittance of finite inhomogeneous layers
RC Pérez, KV Khmelnytskaya, VV Kravchenko, HO Galdeano
Journal of Optics A: Pure and Applied Optics 11 (6), 065707, 2009
342009
Spectral parameter power series for fourth-order Sturm–Liouville problems
KV Khmelnytskaya, VV Kravchenko, JA Baldenebro-Obeso
Applied mathematics and computation 219 (8), 3610-3624, 2012
332012
Spectral parameter power series representation for Hill’s discriminant
KV Khmelnytskaya, HC Rosu
Annals of Physics 325 (11), 2512-2521, 2010
312010
Wave polynomials, transmutations and Cauchy’s problem for the Klein–Gordon equation
KV Khmelnytskaya, VV Kravchenko, SM Torba, S Tremblay
Journal of mathematical analysis and applications 399 (1), 191-212, 2013
292013
Quaternionic fundamental solutions for electromagnetic scattering problems and application
KV Khmelnytskaya, VV Kravchenko, VS Rabinovich
Zeitschrift für Analysis und ihre Anwendungen 22 (1), 147-166, 2003
252003
Quaternionic integral representations for electromagnetic fields in chiral media
KV Khmelnytskaya, VV Kravchenko, H Oviedo
Telecommunications and Radio Engineering 56 (4&5), 2001
222001
The heat transfer problem for inhomogeneous materials in photoacoustic applications and spectral parameter power series
KV Khmelnytskaya, I Serroukh
Mathematical methods in the applied sciences 36 (14), 1878-1891, 2013
202013
The transmutation operator method for efficient solution of the inverse Sturm‐Liouville problem on a half‐line
BB Delgado, KV Khmelnytskaya, VV Kravchenko
Mathematical Methods in the Applied Sciences 42 (18), 7359-7366, 2019
192019
Periodic Sturm–Liouville problems related to two Riccati equations of constant coefficients
KV Khmelnytskaya, HC Rosu, A González
Annals of Physics 325 (3), 596-606, 2010
172010
Shifted Riccati procedure: Application to conformal barotropic FRW cosmologies
HC Rosu, KV Khmelnytskaya
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 7, 013, 2011
152011
Reconstruction of potentials in quantum dots and other small symmetric structures
KV Khmelnytskaya, TV Torchynska
Mathematical methods in the applied sciences 33 (4), 469-472, 2010
152010
A practical method for solving the inverse quantum scattering problem on a half line
AN Karapetyants, KV Khmelnytskaya, VV Kravchenko
Journal of Physics: Conference Series 1540 (1), 012007, 2020
132020
An amplitude-phase (Ermakov–Lewis) approach for the Jackiw–Pi model of bilayer graphene
KV Khmelnytskaya, HC Rosu
Journal of Physics A: Mathematical and Theoretical 42 (4), 042004, 2008
132008
Spectral parameter power series method for discontinuous coefficients
H Blancarte, HM Campos, KV Khmelnytskaya
Mathematical Methods in the Applied Sciences 38 (10), 2000-2011, 2015
122015
A representation of the transmutation kernels for the Schrödinger operator in terms of eigenfunctions and applications
KV Khmelnytskaya, VV Kravchenko, SM Torba
Applied Mathematics and Computation 353, 274-281, 2019
112019
A representation for Jost solutions and an efficient method for solving the spectral problem on the half line
BB Delgado, KV Khmelnytskaya, VV Kravchenko
Mathematical Methods in the Applied Sciences 43 (16), 9304-9319, 2020
102020
Transmutation operators: construction and applications
VV Kravchenko, SM Torba, KV Khmelnytskaya
arXiv preprint arXiv:1708.00505, 2017
102017
Modulated electromagnetic fields in inhomogeneous media, hyperbolic pseudoanalytic functions, and transmutations
KV Khmelnytskaya, VV Kravchenko, SM Torba
Journal of Mathematical Physics 57 (5), 051503, 2016
92016
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