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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
Verified email at univ.kiev.ua - Homepage
Title
Cited by
Cited by
Year
Homogenization of the Poisson equation in a thick periodic junction
TA Mel'nyk
Zeitschrift für Analysis und ihre Anwendungen 18 (4), 953-975, 1999
1061999
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
103*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
77*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
692008
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
671994
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
502008
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
502005
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
501993
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
472000
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
422000
Vibrations of a thick periodic junction with concentrated masses
TA Mel'nyk
Mathematical Models and Methods in Applied Sciences 11 (06), 1001-1027, 2001
412001
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
352012
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
352001
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
35*1995
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
312012
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 (4), 592-612, 2009
282009
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
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
Averaging of elliptic equations describing processes in strongly inhomogeneous thin perforated domains with rapidly changing thickness
TA Mel’nik
Akad. Nauk Ukr. SSR 10, 15-18, 1991
23*1991
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
222010
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