A Riemann–Hilbert approach to the modified Camassa–Holm equation with nonzero boundary conditions A Boutet de Monvel, I Karpenko, D Shepelsky
Journal of Mathematical Physics 61 (3), 2020
22 2020 Isospectrality for graph Laplacians under the change of coupling at graph vertices Y Ershova, II Karpenko, AV Kiselev
Journal of Spectral Theory 6 (1), 43-66, 2016
15 2016 Nonlinear Fourier spectrum characterization of time-limited signals D Shepelsky, A Vasylchenkova, JE Prilepsky, I Karpenko
IEEE Transactions on Communications 68 (5), 3024-3032, 2020
9 2020 Isospectrality for graph Laplacians under the change of coupling at graph vertices: necessary and sufficient conditions Y Ershova, II Karpenko, AV Kiselev
Mathematika 62 (1), 210-242, 2016
9 2016 On sufficient conditions for a polynomial to be sign-independently hyperbolic or to have real separated zeros I Karpenko, A Vishnyakova
Mathematical inequalities and applications 20 (1), 237-245, 2017
5 2017 The modified Camassa-Holm equation on a nonzero background: large-time asymptotics for the Cauchy problem AB de Monvel, I Karpenko, D Shepelsky
arXiv preprint arXiv:2011.13235, 2020
4 2020 A Riemann–Hilbert approach to the modified Camassa–Holm equation with step-like boundary conditions I Karpenko, D Shepelsky, G Teschl
Monatshefte für Mathematik 201 (1), 127-172, 2023
3 2023 Linear expand-contract plasticity of ellipsoids revisited I Karpenko, O Zavarzina
arXiv preprint arXiv:2204.06300, 2022
3 2022 A simplicity criterion for symmetric operator on a graph EN Ashurova, AN Kandagura, II Karpenko
Methods of Functional Analysis and Topology 20 (02), 117-123, 2014
3 2014 Long-Time Asymptotics for the Modified Camassa--Holm Equation with Nonzero Boundary Conditions. I Karpenko
Journal of Mathematical Physics, Analysis, Geometry (18129471) 18 (2), 2022
2 2022 The modified Camassa-Holm equation on a nonzero background: large-time asymptotics for the Cauchy problem A Boutet de Monvel, I Karpenko, D Shepelsky
arXiv e-prints, arXiv: 2011.13235, 2020
2 2020 On the Pochhammer transformation and hyperbolic polynomials decomposed in the Pochhammer basis M Golitsyna, I Karpenko
Journal of Difference Equations and Applications 22 (12), 1871-1879, 2016
1 2016 On inverse topology problem for Laplace operators on graphs YY Ershova, II Karpenko, AV Kiselev
Carpathian Mathematical Publications 6 (2), 230-236, 2014
1 2014 On Self-Adjointness Of 1-D Schr\"odinger Operators With -Interactions II Karpenko, DL Tyshkevich
arXiv preprint arXiv:1204.0728, 2012
1 2012 Periodic finite-band solutions to the focusing nonlinear Schrödinger equation by the Fokas method: inverse and direct problems D Shepelsky, I Karpenko, S Bogdanov, JE Prilepsky
Proceedings of the Royal Society A 480 (2286), 20230828, 2024
2024 The modified Camassa–Holm equation with nonvanishing boundary conditions by a Riemann–Hilbert approach I Karpenko
2023 On the rigorous justification of b-modulation method and inclusion of discrete eigenvalues D Shepelsky, A Vasylchenkova, JE Prilepsky, I Karpenko
arXiv. org, 2019
2019 On the model of a skew--selfadjoint operator with a simple spectrum on a Hilbert quaternion module D Tyshkevich, I Karpenko
arXiv preprint arXiv:1006.5542, 2010
2010