| 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 | 27 | 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 | 10 | 2020 |
| 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 | 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 |
| 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 |
| 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 | 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 |
| 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 | 1 | 2024 |
| 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 |
| 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 |
