Homogenization of the Poisson equation in a thick periodic junction TA Mel'Nyk Zeitschrift für Analysis und ihre Anwendungen 18 (4), 953-975, 1999 | 107 | 1999 |
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 | 82* | 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 | 73 | 2008 |
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 | 64 | 1994 |
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 | 54 | 2008 |
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 | 52 | 2005 |
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 | 50 | 1993 |
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 | 48 | 2000 |
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 | 42 | 2000 |
Vibrations of a thick periodic junction with concentrated masses TA Mel'nyk Mathematical Models and Methods in Applied Sciences 11 (06), 1001-1027, 2001 | 39 | 2001 |
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 | 38* | 1995 |
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 | 37 | 2012 |
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 | 37 | 2012 |
Asymptotic behavior of eigenvalues and eigenfunctions of the Steklov problem in a thick periodic junction TA Mel’nyk Nonlinear oscillations 4 (1), 91-105, 2001 | 36 | 2001 |
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 | 31 | 2009 |
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 | 30 | 2010 |
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 | 29 | 2010 |
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 | 25 | 2015 |