### April 2012 — March 2016

funded by Marie Curie Actions - International Research Staff Exchange Scheme (IRSES) FP7-People-2011-IRSES Project number 295164## Publications acknowledging EUMLS

T.M. Osipchuk | Mathematical modeling of cortico-pontine projection | Proceedings of the Institute of Mathematics of NAS of Ukraine 9(2) (2012), 265-269 |

D.Yu. Sadovyi | Asymptotic approximation of a solution of a quasilinear parabolic boundary-value problem in a two-level thick junction of type 3:2:2 | Matematychni Studii 38(1) (2012), 51-67 |

D.Yu. Sadovyi | Asymptotic approximations of solutions to elliptic and parabolic boundary-value problems in a two-level thick junction of type 3:2:2 | Advances and Applications in Mathematical Sciences 11(8) (2012), 381-413 |

V. Gerasimenko, Y. Fedchun | On kinetic models for the evolution of many-entity systems in mathematical biology | J. Coupled Syst. Multiscale Dyn. Vol. 1(2) (2013), 273-279 |

V. Overko et. al. | Numerical investigation of the blood flow in the non-planar curved channel | in: Interdisciplinary Integration of Science in Technology, Education and Economy, Eds. J. Shalapko, B. Żółtowski, Bydgoszcz 2013, 190-196 |

T.A. Mel'nik, D.Yu. Sadovyi | Homogenization of boundary value problems in two-level thick junctions consisting of thin disks with rounded or sharp edges | Journal of Mathematical Sciences 191(2) (2013), 254-279 |

V. Bilet, O. Dovgoshey, M. Küçükaslan | Uniform boundedness of pretangent spaces, local constancy of metric derivatives and strong right upper porosity at a point | J. Analysis 21 (2013), 31-55 |

A. Kyselova | Application for accumulation and classification of experimental anatomic data | Proceedings of International Scientific-Practical Conference "Virtual Instruments in Biomedicine - 2013", May, 24, 2013, Klaipeda, Lithuania, p. 181 - 186 |

I. Nesteruk, G. Passoni, A. Redaelli | Shape of aquatic animals and their swimming efficiency | Journal of Marine Biology Volume 2014, Article ID 470715, 9 pages |

V. Gerasimenko, Y. Fedchun | Kinetic equations of soft active matter (in Ukrainian) | ISSN 1025-6415 Reports of the National Academy of Sciences of Ukraine, 2014, No 5, 11-18 |

A. Antoniouk, K. Keller, S. Maksymenko | Kolmogorov-Sinai entropy via separation properties of order-generated σ-algebras | Discret. Contin. Dyn. Syst. A 34(5) (2014), 1793-1809 |

S. Yanchenko | Order estimates of approximative characteristics of functions, belonging to the generalized classes of mixed smoothness of Nikolski-Besov type (in Ukrainian) | Proceedings of the Institute of Mathematics of NAS of Ukraine, 11(3) (2014), 330-343 |

A. L. Shidlich | Order estimates of the functionals, which are the expressions of best $n$-term approximations of the classes ${\cal F}_{q,r}^{\psi}$ (in Ukrainian) | Proceedings of the Institute of Mathematics of NAS of Ukraine, 11(3) (2014), 287-314 |

A. L. Shidlich, S. O. Chaichenko | Some extremal problems in the Orlicz spaces (in Ukrainian) | Mat. Stud. 42, No. 1 (2014), 21-32 |

I. Karabash | Pareto optimal structures producing resonances of minimal decay under $L^1$-type constraints | J. of Differential Equations, 257(2) (2014), 374-414 |

N. Vasylyeva, M. Krasnoschok | Local solvability of the two-dimensional Hele-Shaw problem with a fractional derivative in time (in Russian) | Math. Trudy 17(2) (2014), 102-131 |

N. Vasylyeva, L. Vynnytska | On a multidimensional moving boundary problem governed by anomalous diffusion: analytical and numerical study | Nonlinear Differ. Equ. Appl. 22(4) (2015), 543-577 |

N. Vasylyeva | On a local solvability of the multidimensional Muskat problem with a fractional derivative in time on the boundary condition | Fractional Differential Calculus 4(2) (2014), 89-124 |

O. Dovgoshey, E. Petrov, H.-M. Teichert | On spaces extremal for the Gomory-Hu inequality | p-Adic Numbers, Ultrametric Analysis and Applications 7(2) (2015), 123-132 |

S. A. Stasyuk | Approximation by step-hyperbolic Fourier sums of classes $\mathbf{MB}^{\omega}_{1,\theta}(\overline{\gamma})$ (in Ukrainian) | Proceedings of the Institute of Mathematics of NAS of Ukraine, 11(3) (2014), 228-240 |

S. A. Stasyuk | Approximation of classes $\mathbf{MB}^{\Omega}_{p,\theta}$ by Vallée-Poussin sums in the uniform metric (in Russian) | Proceedings of the Institute of Mathematics of NAS of Ukraine, 11(4) (2014), 308-317 |

S. A. Stasyuk | Approximation of the classes $\mathbf{MB}^{r}_{p,\theta}$ of periodic functions of several variables by polynomials according to the Haar system | Journal of Mathematical Sciences, 210 (1), (2015), 76-85 (and Ukr. Mat. Visn., 12(1) (2015), 97-109 (in Russian)) |

I. Nesteruk | Technology applications of the low drag shapes of aquatic animals | Bioscience and Bioengineering Vol. 1, No. 2, (2015) 29-33 |

S. Pirola, F. Sturla, E. G. Caiani, E. Votta, I. Nesteruk, M. Lombardi, A. Della Corte, M. Bissell, A. Redaelli, | 4D flow PC-MRI for the assessment of bicuspid aortic valve effects on the ascending aorta fluid dynamics: an intuitive clinically oriented analysis platform | HVS (The Heart Valve Society) 2015, May 7/9 - Monte Carlo, Monaco |

A. L. Shidlich, S. O. Chaichenko | On some inequalities of Chebyshev type | Mathematical Inequalities & Applications 18,4 (2015), 1313-1320 |

N. Vasylyeva | Local solvability of a linear system with a fractional derivative in time in a boundary condition | Fract. Calc. Appl. Anal. 18,4 (2015), 982-1005 |

V. Bilet, O. Dovgoshey, J. Prestin | Two ideals connected with strong right upper porosity at a point | Czech. Math. J. 65(3) (2015), 713-737 |

A. L. Shidlich, S. O. Chaichenko | Approximative properties of diagonal operators in Orlicz spaces | Numerical Functional Analysis and Optimization 36 (2015), 1339-1352 |

I. Verbytskyi | Spectrum calculation of frequency pulse modulation voltage using double Fourier series | Conference IEEE 3rd Workshop on Advances in Information, Electronic and Electrical Engineering, Riga, 2015, P. 1-4. Doi 10.1109/AIEEE.2015.7367287 |

S. Yanchenko | Approximation of functions from the isotropic Nikol'skii-Besov classes in the uniform and integral metrics (in Ukrainian) | Ukr. Mat. Zh. 67, No. 10, 1423-1433 (2015) |

S. A. Stasyuk | Kolmogorov widths for analogs of Nikol'skii-Besov classes with logarithmic smoothness (in Russian) | Ukr. Mat. Zh. 67, No. 11, 1640-1645 (2015) |

S. A. Stasyuk | Approximation of certain smoothness classes of periodic functions of several variables by polynomials with regard to the tensor Haar system (in Russian) | Trudy Inst. Mat. i Mekh. UrO RAN, V. 21, no. 4, 2015, 251-260 |

S. A. Stasyuk, S. Ya. Yanchenko | Approximation of functions from Nikolskiiâ€“Besov type classes of generalized mixed smoothness | Analysis Mathematica, V. 41, no. 4, 2015, 311-334 |

Voskoboinick V.A, Redaelli A., Fiore G.B., Nesteruk I.G., Voskoboinick A.A., Basovskyy V.G., Voskoboinick A.V. | Hydroacoustic of the mechanical bileaflet mitral valve (in Russian) | Acoustic symposium "Consonans 2015", Institute of Hydromechanics of the NASU, Kyiv, Ukraine, pp. 59-65 |

S. Pirola, F. Piatti, F. Sturla, E. Votta, I. Nesteruk, M. Lombardi, A. Della Corte, M. Bissell, A. Redaelli, E. G. Caiani | Phase Contrast MRI: Development of a user-friendly platform for fast-automated segmentation and fluid-dynamic post-processing | Computing in Cardiology 2015, Volume 42, pp. 717-720 |

W. Erb, E.V. Semenova | On adaptive discretization schemes for the regularization of ill-posed problems with semiiterative methods | Appl. Anal. 94, 10 (2015), 2057-2076 |

K. Keller, S. Maksymenko, I. Stolz | Entropy determination based on the ordinal structure of a dynamical system | Discret. Contin. Dyn. Syst. B 20 (2015), 3507-3524 |

D. Langemann, I. Nesteruk, J. Prestin | Comparison of mathematical models for the dynamics of the Chernivtsi children disease | Math. Comput. Simulation 123 (2016), 68-79 |

Y. Kolomoitsev, J. Prestin | Sharp estimates of approximation of periodic functions in Hölder spaces | J. Approx. Theory 200 (2015), 68-91 |

O. Dovgoshey, P. Hariri, M. Vuorinen | Comparison theorems for hyperbolic type metrics | Complex Variables and Elliptic Equations Volume 61, 2016 - Issue 11 |

M. Altinok, O. Dovgoshey, M. Küçükaslan | Local one-sided porosity and pretangent spaces | ANALYSIS International mathematical journal of analysis and its applications, 2016 36(3), 147-172 |

S. A. Stasyuk | Best $m$-term trigonometric approximation for periodic functions with small mixed smoothness from Nikolskii--Besov type classes (in Ukrainian) | Ukr. Mat. Zh. 68, No. 7, 983--1003 (2016) |

N. Vasylyeva, V. Overko | The Hele-Shaw problem with surface tension in the case of subdiffusion | Communications on Pure and Applied Analysis 15(5), (2016), 1941 - 1974 |

Y. Kolomoitsev, T. Lomako, J. Prestin | On approximation of functions by algebraic polynomials in Hölder spaces | Math. Nachr. 289 (2016), 2037-2057 |

A. L. Shidlich | Nonlinear approximation of the classes ${\cal F}_{q,r}^{\psi}$ of functions of several variables in the integral metrics | Proceedings of the Institute of Mathematics of NAS of Ukraine, 13(3) (2016), 293-312 |

J. Prestin, V.V. Savchuk, A.L. Shidlich | Approximation of $2\pi$-periodic functions by Taylor-Abel-Poisson operators in the integral metric | Reports of the NAS of Ukraine, 2017, N1, 17-20 |

J. Prestin, V.V. Savchuk, A.L. Shidlich | Direct and inverse theorems on the approximation of $2\pi$-periodic functions by Taylor-Abel-Poisson operators (in Ukrainian) | Ukrainian Mathematical Journal 69(5), (2017), 657 - 669 |

V. Bilet, O. Dovgoshey, J. Prestin | Boundedness of Lebesgue constants and interpolating Faber bases | Naukovi Visti NTUU KPI (International Science and Technology journal), no. 4 (2017), 7-16 |

V. Bilet, O. Dovgoshey, M. Küçükaslan, E. Petrov | Minimal universal metric spaces | Annales Academiæ Scientiarum Fennicæ Mathematica 42 (2017), 1019-1064 |

I. M. Karabash, O. M. Logachova, I. V. Verbytskyi | Nonlinear bang-bang eigenproblems and optimization of resonances in layered cavities | Integral Equations and Operator Theory 88 (2017), no. 1, pp. 15-44 |

I. M. Karabash, J. Prestin | Recovery of periodicities hidden in heavy-tailed noise | to appear in Math. Nachr. |

T.A. Mel'nik | Asymptotic approximations for chemical reactive flows in thick fractal junctions | to appear in: Integral Methods in Science and Engineering: Theoretical and Computational Advances, (Eds. C. Constanda, A. Kirsch) |

A. Pilipenko, F.N. Proske | On perturbations of an ODE with non-Lipschitz coefficients by a small self-similar noise | Statistics & Probability Letters. Volume 132, January 2018, 62-73 |

T. Melnyk | Asymptotic analysis of a mathematical model of the atherosclerosis development | to appear in International Journal of Biomathematics, 2019 |

A. Pilipenko, F.N. Proske | On a selection problem for small noise perturbation in multidimensional case | to appear in Stochastic and Dynamics |

O. Dovgoshey | Lattices and isotone extension of mappings | submitted |

O. Dovgoshey, M. Küçükaslan, J. Riihentaus | First Baire class functions in the pluri-fine topology | submitted |

O. Dovgoshey, E. Petrov, H.-M. Teichert | How rigid the finite ultrametric spaces can be? | submitted |

S. A. Stasyuk | Constructive sparse trigonometric approximation of functions with generalized mixed smoothness (in Russian) | submitted |