| 2024 | Taras Mel'nyk and Christian Rohde: Asymptotic approximations for semilinear parabolic convection-dominated transport problems in thin graph-like networks. In: Journal of Mathematical Analysis and Applications, https://doi.org/10.1016/j.jmaa.2023.127587, 529, 2024, |
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| 2024 | Taras Mel'nyk and Christian Rohde: Asymptotic expansion for convection-dominated transport in a thin graph-like junction. In: Analysis and Applications, https://doi.org/10.1142/S0219530524500040, 22, 2024, 833 - 879 |
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| 2023 | Taras Mel'nyk: Complex Analysis. Springer, 2023 |
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| 2021 | T.A. Mel'nyk: Asymptotic approximations for eigenvalues and eigenfunctions of a spectral problem in a thin graph-like junction with a concentrated mass in the node. In: Analysis and Applications, https://doi.org/10.1142/S0219530520500219, 19 2021, 875 - 939 |
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| 2019 | Taras Mel'nyk: Asymptotic analysis of a mathematical model of the atherosclerosis development. In: International Journal of Biomathematics,
https://doi.org/10.1142/S1793524519500141, 2019, |
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| 2015 | Taras Mel'nyk: Asymptotic approximations for chemical reactive flows in thick fractal junctions. In: Christian Constanda, Andreas Kirsch, Integral Methods in Science and Engineering: Theoretical and Computational Advances. Birkhaeuser 2015. 387-401 |
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| 2011 | Taras Mel'nyk, Iulia Nakvasiuk, Wolfgang Wendland: Homogenization of the Signorini boundary-value problem in a thick junction and boundary integral equations for the homogenized problem. In: Mathematical Methods in the Applied Sciences, 2011, 758-775 |
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| 2010 | Taras Mel'nyk, Olena Sivak: Asymptotic analysis of a parabolic semilinear problem with nonlinear boundary multiphase interactions in a perforated domain
. In: Journal of Mathematical Sciences, 2010, 427-453 |
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| 2009 | Taras Mel'nyk, Andrii Popov: Asymptotic approximations of solutions to parabolic boundary value problems in thin perforated domains of rapidly varying thickness. In: Journal of Mathematical Sciences, 2009, 348-373 |
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| 2009 | Taras Mel'nyk, Gregory Chechkin, Tatiana Chechkina: Convergence theorems for solutions and energy functionals of boundary value problems in thick multilevel junctions of a new type with perturbed Neumann conditions on the boundary of thin rectangles. In: Journal of Mathematical Sciences, 2009, 113-132 |
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| 2008 | Taras Mel'nyk, Gregory Chechkin: Asymptotic analysis of boundary value problems in thick cascade junctions. In: Reports of National Science Academy of Ukraine , 2008, 16-23 |
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| 2008 | Taras Mel'nyk, Gregory Chechkin: Homogenization of a boundary value problem in a thick cascade junction. In: Journal of Mathematical Sciences, 2008, 50-77 |
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| 2008 | Taras Mel'nyk: Homogenization of a boundary-value problem
with a nonlinear boundary condition in a thick junction of type 3:2:1. In: Mathematical Methods in the Applied Sciences, 2008, 1005-1027 |
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| 2005 | Taras Mel'nyk: Asymptotic analysis of the spectral Neumann problem
in a thick multi-structure of type 3:1:1. In: Nonlinear boundary-value problems, 2005, 85-98 |
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| 2001 | Taras Mel'nyk, Ivan Argatov: Homogenization of a contact problem for a system of densely situated punches. In: Eur. J. Mech. A/Solid, 2001, 91-98 |
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| 2001 | Taras Mel'nyk: Vibrations of a thick periodic junction with concentrated masses. In: Mathematical Models and Methods in Applied Sciences, 2001, 1001-1027 |
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| 2000 | Taras Mel'nyk: Asymptotic analysis of a spectral problem in a periodic thick junction of type 3:2:1. In: Mathematical Methods in the Applied Sciences, 2000, 321-346 |
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| 2000 | Taras Mel'nyk: Spectral problems in a periodic thick
multi-structure with concentrated masses. EQUADIFF 99,
Proceedings of the International Conf. on Differential Equations. Berlin 1999. Vol.1. World Scientific, 2000. 454-456 |
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| 1999 | Taras Mel'nyk: Homogenization of the Poisson Equation in a Thick Periodic Junction. In: J. for analysis and its Applications, 1999, 953-975 |
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| 1999 | Taras Mel'nyk: On free vibrations of a thick junction with concentrated masses on the fine rods. In: Nonlinear Oscillations, 1999, 511-523 |
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| 1998 | Taras Mel'nyk: Perturbation of the spectrum of boundary-value
problems in periodic thick multi-structures of type 3:2:1. In: A. Degasperis, G. Gaeta, Symmetry and Perturbation Theory ,SPT 98. World Scientific, 1998. 211-218 |
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