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Taras Mel'nyk, T.A. Melnik, T.A. Mel'nyk, Т. А. Мельник
Taras Mel'nyk, T.A. Melnik, T.A. Mel'nyk, Т. А. Мельник
Professor, Dept. of Math. Physics, Taras Shevchenko National University of Kyiv
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Homogenization of the Poisson equation in a thick periodic junction
TA Mel'nyk
Zeitschrift für Analysis und ihre Anwendungen 18 (4), 953-975, 1999
1111999
Asymptotics of the Neumann spectral problem solution in a domain of “thick comb” type
TA Mel’nyk, SA Nazarov
J. Math. Sci 85 (6), 2326-2346, 1997
107*1997
Asymptotic analysis of the Neumann problem on the junction of a body and thin heavy rods
TA Mel'nyk, SA Nazarov
ST PETERSBURG MATHEMATICAL JOURNAL C/C OF ALGEBRA I ANALIZ 12 (2), 317-351, 2001
83*2001
Boundary homogenization and reduction of dimension in a Kirchhoff-Love plate
D Blanchard, A Gaudiello, TA Mel'nyk
SIAM Journal on Mathematical Analysis 39 (6), 1764-1787, 2008
742008
Asymptotic structure of the spectrum of the Neumann problem in a thin comb-like domain
TA Mel'nyk, SA Nazarov
Comptes rendus de l'Académie des sciences. Série 1, Mathématique 319 (12 …, 1994
651994
Homogenization of a boundary-value problem with a nonlinear boundary condition in a thick junction of type 3: 2: 1
TA Mel'nyk
Mathematical Methods in the Applied Sciences 31 (9), 1005-1027, 2008
562008
Asymptotic approximation for the solution to the Robin problem in a thick multi-level junction
U De Maio, T Durante, TA Mel'nyk
Mathematical Models and Methods in Applied Sciences 15 (12), 1897-1921, 2005
532005
Asymptotic structure of the spectrum in a problem on harmonic vibrations of a hub with heavy spokes
TA Mel'nik, SA Nazarov
Doklady Akademii Nauk 333 (1), 13-15, 1993
531993
Homogenization of a singularly perturbed parabolic problem in a thick periodic junction of the type 3: 2: 1
TA Mel'nik
Ukrainian Mathematical Journal 52 (11), 1737-1748, 2000
512000
Asymptotic analysis of a spectral problem in a periodic thick junction of type 3: 2: 1
TA Mel'nyk
Mathematical Methods in the Applied sciences 23 (4), 321-346, 2000
442000
Asymptotics of eigenelements to spectral problem in thick cascade junction with concentrated masses
GA Chechkin, TA Mel'nyk
Applicable Analysis 91 (6), 1055-1095, 2012
402012
Asymptotic expansions of eigenvalues and eigenfunctions for elliptic boundary-value problems with rapidly oscillating coefficients in a perforated cube
TA Melnik
Journal of Mathematical Sciences 75 (3), 1646 - 1671, 1995
40*1995
Vibrations of a thick periodic junction with concentrated masses
TA Mel'nyk
Mathematical Models and Methods in Applied Sciences 11 (06), 1001-1027, 2001
392001
Homogenization of quasilinear optimal control problems involving a thick multilevel junction of type 3: 2: 1
T Durante, TA Mel'nyk
ESAIM: Control, Optimisation and Calculus of Variations 18 (2), 583-610, 2012
382012
Asymptotic behavior of eigenvalues and eigenfunctions of the Steklov problem in a thick periodic junction
TA Mel’nyk
Nonlin. Oscillations 4 (1), 91-105, 2001
372001
Asymptotic analysis of a boundary-value problem with nonlinear multiphase boundary interactions in a perforated domain
TA Mel’nyk, OA Sivak
Ukrainian Mathematical Journal 61, 592-612, 2009
312009
Asymptotic analysis of boundary-value problems in thin perforated domains with rapidly varying thickness
TA Mel’nyk, AV Popov
Nonlinear oscillations 13 (1), 57-84, 2010
292010
Asymptotic analysis of an optimal control problem involving a thick two-level junction with alternate type of controls
T Durante, TA Mel’nyk
Journal of optimization theory and applications 144 (2), 205-225, 2010
272010
Asymptotic analysis of boundary value and spectral problems in thin perforated regions with rapidly changing thickness and different limiting dimensions
TA Mel'nik, AV Popov
Sbornik: Mathematics 203 (8), 1169, 2012
26*2012
Asymptotic approximation for the solution to a semi-linear parabolic problem in a thick junction with the branched structure
TA Mel'nyk
Journal of Mathematical Analysis and Applications 424 (2), 1237-1260, 2015
252015
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