8.  I. Karpenko, D. Shepelsky, and G.Teschl, A Riemann--Hilbert approach to the modified Camassa--Holm equation with step-like boundary conditions, Monatshefte für Mathematik, Vol. 201 (2023) 127--172
DOI: 10.1007/s00605-022-01786-y

7.  I. Karpenko and O. Zavarzina, Linear Expand-Contract Plasticity of Ellipsoids Revisited, Matematychni Studii, Vol. 57, Issue 2 (2022), 192--201
DOI: 10.30970/ms.57.2.192-201

6. I. Karpenko, Long-time asymptotics for the modified Camassa--Holm equation with nonzero boundary conditions, Journal of Mathematical Physics, Analysis, Geometry, Vol. 18, Number 2 (2022), 224--252
DOI: 10.15407/mag18.02.224

5.  A.Boutet de Monvel, I. Karpenko, and D. Shepelsky, The modified Camassa--Holm equation on a nonzero background: large-time asymptotics for the Cauchy problem, Pure and Applied Functional Analysis, Vol. 7, No. 3, (2022), 887--914

4.  A.Boutet de Monvel, I. Karpenko, and D. Shepelsky, A Riemann--Hilbert approach to the modified Camassa--Holm equation with nonzero boundary conditions, Journal of Mathematical Physics, Vol. 61, Issue 3 (2020), 031504
DOI: 10.1063/1.5139519

3. D. Shepelsky, A. Vasylchenkova, J. E. Prilepsky, and I. Karpenko, Nonlinear Fourier Spectrum Characterization of Time-Limited Signals, IEEE Transactions on communications, Vol. 68, No. 5 (2020), 3024--3032
DOI: 10.1109/TCOMM.2020.2973265

2. I. Karpenko, and A. Vishnyakova, On sufficient conditions for a polynomial to be sign- independently hyperbolic or to have real separated zeros, Mathematical Inequalities and Applications, Vol. 20, No. 1 (2017), 237--245
DOI: 10.7153/MIA-20-18

1. M. Golitsyna, and I. Karpenko, On the Pochhammer transformation and hyperbolic polynomials decomposed in the Pochhammer basis, Journal of Difference Equations and Applications, Vol. 22, No.12 (2016), 1871--1879
DOI: 10.1080/10236198.2016.1248956

12. A Riemann-Hilbert problem approach to the modified Camassa-Holm equation on a step like background, Workshop From Modeling and Analysis to Approximation and Fast Algorithms, Hasenwinkel, Germany (December, 2022)

11. The modified Camassa-Holm equation on a step-like background, Complex Analysis, Spectral Theory and Approximation meet in Linz, Johannes Kepler University, Linz, Austria (July, 2022)

10. A Riemann–Hilbert approach to the modified Camassa–Holm equation with step-like boundary conditions, The international online conference "CURRENT TRENDS IN ABSTRACT AND APPLIED ANALYSIS", Ivano-Frankivsk, Ukraine(May 2022)

9. The modified Camassa-Holm equation on a nonzero background: large-time asymptotics for the Cauchy problem, Workshop "New horizons in dispersive hydrodynamics", Isaac Newton Institute for Mathematical Sciences, Cambridge, United Kingdom (June 2021)

8. A Riemann-Hilbert problem approach to the modified Camassa-Holm equation on a nonzero background, XIV-th Summer School "Analysis, Topology, Algebra and Applications", Pidzakharychi, Ukraine (August 2019)

7. The inverse scattering transform, in the form of Riemann-Hilbert problem, for the modified Camassa-Holm equation, international Conference dedicated to 70th anniversary of Professor A.M.Plichko "Banach Spaces and their Applications", Lviv, Ukraine (June 2019)

6. The Riemann-Hilbert approach to the Cauchy problem for the modified Camassa-Holm equation, 6th Ya. B. Lopatynsky International School-Workshop on Differential Equations and Applications, Vinnytsia, Ukraine (June 2019)

5. A Riemann-Hilbert approach to the modified Camassa-Holm equation with nonzero boundary conditions, VI International Conference "Analysis and Mathematical Physics", Kharkiv, Ukraine (June 2018)

4. On the estimations for the distribution of holomorphic function in the unit disk, International Conference in Functional Analysis dedicated to the 125th anniversary of Stefan Banach, Lviv, Ukraine (September 2017)

3. On the hyperbolic polynomials decomposed in the Pochhammer basis, Ukrainian Conference "Modern problems in Probability Theory and Mathematical Analysis", Vorokhta, Ukraine (February 2017)

2. On sufficient conditions for a polynomial to be sign-independently hyperbolic or to have real separated zeros, Second Ukrainian Conference "Applied problems in mathematics", Ivano- Frankivsk, Ukraine (October 2016)

1. On the Pochhammer transformation and hyperbolic polynomials with separated zeros, International Conference "Complex Analysis and related topics", Lviv, Ukraine (June 2016)

2. A Riemann-Hilbert problem approach to the modified Camassa-Holm equation, Freie Universitat Berlin (February 2020)

1. A Riemann-Hilbert problem approach to the modified Camassa-Holm equation with nonzero boundary conditions, SE Mathematical Physics, University of Vienna, Vienna, Austria (February 2020)