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Kira V. Khmelnytskaya

Observed names: K V Khmelnytskaya, K. Khmelnytskaya, K. V. Khmelnytskaya, K.V. Khmelnytskaya, KIRA V. KHMELNYTSKAYA, Khmelnytskaya, Kira V., Kira V Khmelnytskaya
ORCID: 0000-0002-7253-3389
Observed ORCID: 0000-0002-7253-3389
OpenAlex ID: A5042302548
On a quaternionic Maxwell equation for the time-dependent electromagnetic field in a chiral medium
2004 · Sergei M Grudsky, Kira V Khmelnytskaya, et al. · Journal of Physics A Mathematical and General · 59
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Eigenvalue problems, spectral parameter power series, and modern applications
2014 · Kira V. Khmelnytskaya, Vladislav V. Kravchenko, et al. · Mathematical Methods in the Applied Sciences · 48
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Spectral parameter power series for fourth-order Sturm–Liouville problems
2012 · Kira V. Khmelnytskaya, Vladislav V. Kravchenko, et al. · Applied Mathematics and Computation · 29
The transmutation operator method for efficient solution of the inverse Sturm‐Liouville problem on a half‐line
2019 · Briceyda B. Delgado, Kira V. Khmelnytskaya, et al. · Mathematical Methods in the Applied Sciences · 27
Efficient calculation of the reflectance and transmittance of finite inhomogeneous layers
2009 · Raúl Castillo Pérez, Kira V Khmelnytskaya, et al. · Journal of Optics A Pure and Applied Optics · 26
Spectral parameter power series representation for Hill’s discriminant
2010 · K.V. Khmelnytskaya, H.C. Rosu · Annals of Physics · 22
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Wave polynomials, transmutations and Cauchy’s problem for the Klein–Gordon equation
2012 · Kira V. Khmelnytskaya, Vladislav V. Kravchenko, et al. · Journal of Mathematical Analysis and Applications · 20
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Reconstruction techniques for quantum trees
2024 · Sergei A. Avdonin, Kira V. Khmelnytskaya, et al. · Mathematical Methods in the Applied Sciences · 15
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Recovery of Inhomogeneity from Output Boundary Data
2022 · Vladislav V. Kravchenko, Kira V. Khmelnytskaya, et al. · Mathematics · 15
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On the solution of the static Maxwell system in axially symmetric inhomogeneous media
2009 · Kira V. Khmelnytskaya, Vladislav V. Kravchenko, et al. · Mathematical Methods in the Applied Sciences · 14
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Quaternionic Fundamental Solutions for Electromagnetic Scattering Problems and Application
2003 · K. V. Khmelnytskaya, Vladislav V. Kravchenko, et al. · Zeitschrift für Analysis und ihre Anwendungen · 14
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Quaternionic Integral Representations for Electromagnetic Fields in Chiral Media
2001 · Kira V. Khmelnytskaya, Vladislav V. Kravchenko, et al. · Telecommunications and Radio Engineering · 14
A representation for Jost solutions and an efficient method for solving the spectral problem on the half line
2019 · Briceyda B. Delgado, Kira V. Khmelnytskaya, et al. · Mathematical Methods in the Applied Sciences · 13
Neumann series of Bessel functions for inverse coefficient problems
2023 · Fatma Ayça Çetinkaya, Kira V. Khmelnytskaya, et al. · Mathematical Methods in the Applied Sciences · 12
Recovery of a potential on a quantum star graph from Weyl's matrix
2023 · Sergei A. Avdonin, Kira V. Khmelnytskaya, et al. · Inverse Problems and Imaging · 12
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Spectral parameter power series method for discontinuous coefficients
2014 · Herminio Blancarte, Hugo M. Campos, et al. · Mathematical Methods in the Applied Sciences · 12
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The heat transfer problem for inhomogeneous materials in photoacoustic applications and spectral parameter power series
2013 · Kira V. Khmelnytskaya, Ibrahim Serroukh · Mathematical Methods in the Applied Sciences · 12
Periodic Sturm–Liouville problems related to two Riccati equations of constant coefficients
2009 · K.V. Khmelnytskaya, H.C. Rosu, et al. · Annals of Physics · 12
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Reconstruction of potentials in quantum dots and other small symmetric structures
2009 · Kira V. Khmelnytskaya, Tetyana V. Torchynska · Mathematical Methods in the Applied Sciences · 12
An amplitude-phase (Ermakov–Lewis) approach for the Jackiw–Pi model of bilayer graphene
2008 · Kira V Khmelnytskaya, Haret C Rosu · Journal of Physics A Mathematical and Theoretical · 12
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A Practical Method for Solving the Inverse Quantum Scattering Problem on a Half Line
2020 · A N Karapetyants, K V Khmelnytskaya, et al. · Journal of Physics Conference Series · 10
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A representation of the transmutation kernels for the Schrödinger operator in terms of eigenfunctions and applications
2019 · Kira V. Khmelnytskaya, Vladislav V. Kravchenko, et al. · Applied Mathematics and Computation · 7
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Transmutation operators: construction and applications
2017 · Kravchenko, Vladislav V., Torba, Sergii M., et al. · arXiv (Cornell University) · 6
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Modulated electromagnetic fields in inhomogeneous media, hyperbolic pseudoanalytic functions and transmutations
2014 · Kira V. Khmelnytskaya, Vladislav V. Kravchenko, et al. · 6
Inhomogeneous Barotropic Frw Cosmologies in Conformal Time
2013 · HARET C. ROSU, KIRA V. KHMELNYTSKAYA · Modern Physics Letters A · 6
Works count: 37
Citation count: 454
H-index: 13
I10-index: 21
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