Kholodovskii S.E., “On the Motion of a Semibounded String With a Point Mass Attached to the Free End”, Mech. Sol., 54:2 (2019), 266–270
Mel'nyk T.A., Nakvasiuk I.A., “Homogenization of a semilinear variational inequality in a thick multi-level junction”, J. Inequal. Appl., 2016, 104
С. Е. Холодовский, “Об эффективном решении задачи о движении неограниченной струны с точечной массой”, Ж. вычисл. матем. и матем. физ., 55:1 (2015), 105–112; S. E. Kholodovskii, “Effective solution of the problem of motion of an infinite string with an attached point mass”, Comput. Math. Math. Phys., 55:1 (2015), 101–108
Gomez D., Lobo M., Perez M.E., Shaposhnikova T.A., Zubova M.N., “on Critical Parameters in Homogenization of Perforated Domains By Thin Tubes With Nonlinear Flux and Related Spectral Problems”, Math. Meth. Appl. Sci., 38:12 (2015), 2606–2629
Holovatyi Yu.D., Hut V.M., “Vibrating Systems with Rigid Light-Weight Inclusions: Asymptotics of the Spectrum and Eigenspaces”, Ukr. Math. J., 64:10 (2013), 1495–1513
Mel'nyk T.A., Sadovyi D.Yu., “Homogenization of a Quasilinear Parabolic Problem with Different Alternating Nonlinear Fourier Boundary Conditions in a Two-Level Thick Junction of the Type 3:2:2”, Ukr. Math. J., 63:12 (2012), 1855–1882
Chechkin G.A., Mel'nyk T.A., “Asymptotics of Eigenelements to Spectral Problem in Thick Cascade Junction with Concentrated Masses”, Appl. Anal., 91:6, SI (2012), 1055–1095
Т. П. Чечкина, “Усреднение в каскадных соединениях с “широкой” трансмиссионной областью”, Уравнения в частных производных, СМФН, 39, РУДН, М., 2011, 151–162; T. P. Chechkina, “Averaging in cascade junctions with a “wide” transmission domain”, Journal of Mathematical Sciences, 190:1 (2013), 157–169
Mel'nyk T.A., Nakvasiuk I.A., Wendland W.L., “Homogenization of the Signorini boundary-value problem in a thick junction and boundary integral equations for the homogenized problem”, Math Methods Appl Sci, 34:7 (2011), 758–775
Chechkin G.A., Chechkina T.P., D'Apice C., De Maio U., Mel'nyk T.A., “Homogenization of 3D thick cascade junction with a random transmission zone periodic in one direction”, Russ. J. Math. Phys., 17:1 (2010), 35–55
Т. А. Мельник, Г. А. Чечкин, “Асимптотический анализ краевых задач в густых трехмерных многоуровневых соединениях”, Матем. сб., 200:3 (2009), 49–74; T. A. Mel'nik, G. A. Chechkin, “Asymptotic analysis of boundary-value problems in thick three-dimensional multi-level junctions”, Sb. Math., 200:3 (2009), 357–383
Chechkin G.A., Chechkina T.P., D'Apice C., De Maio U., Mel'nyk T.A., “Asymptotic analysis of a boundary-value problem in a cascade thick junction with a random transmission zone”, Appl. Anal., 88:10-11 (2009), 1543–1562
Kazmerchuk Yu.A., Mel'nyk T.A., “Homogenization of the signorini boundary–value problem in a thick plane junction”, Nonlinear Oscillations, 12:1 (2009), 45–59
С. А. Назаров, “Асимптотика отрицательных собственных чисел задачи Дирихле при плотности переменного знака”, Тр. сем. им. И. Г. Петровского, 27, Изд-во Моск. ун-та, М., 2009, 235–275; S. A. Nazarov, “Asymptotics of negative eigenvalues of the Dirichlet problem with the density changing sign”, J. Math. Sci. (N. Y.), 163:2 (2009), 151–175
Mel'nyk T.A., “Homogenization of a boundary-value problem with a nonlinear boundary condition in a thick junction of type 3:2:1”, Math. Methods Appl. Sci., 31:9 (2008), 1005–1027
D'Apice C., De Maio U., Mel'nyk T.A., “Asymptotic analysis of a perturbed parabolic problem in a thick junction of type 3:2:2”, Netw. Heterog. Media, 2:2 (2007), 255–277
Мельник Т.А., Ващук П.С., “Усреднение краевой задачи со сменным типом граничных условий в густом соединении”, Дифференц. уравнения, 43:5 (2007), 677–684; Mel'nik T.A., Vashchuk P.S., “Homogenization of a boundary value problem with mixed type of boundary conditions in a thick junction”, Differ. Equ., 43:5 (2007), 696–703
T. Durante, T. A. Mel'nik, “Asymptotic analysis of a parabolic problem in a thick two-level junction”, Журн. матем. физ., анал., геом., 3:3 (2007), 313–341
D'Apice C., De Maio U., Mel'nik T.A., “Asymptotic approximation of the solution to the robin problem in a thick multistructure”, International Journal for Multiscale Computational Engineering, 4:5–6 (2006), 545–558
T. A. Mel'nik, P. S. Vashchuk, “Homogenization of the Neumann–Fourier problem in a thick two-level junction of type 3:2:1”, Журн. матем. физ., анал., геом., 2:3 (2006), 318–337
De Maio U., Durante T., Mel'nyk T.A., “Asymptotic approximation for the solution to the Robin problem in a thick multi-level junction”, Math. Models Methods Appl. Sci., 15:12 (2005), 1897–1921
De Maio U., Mel'nyk T.A., “Homogenization of the Neumann problem in thick multi-structures of type 3:2:2”, Math. Methods Appl. Sci., 28:7 (2005), 865–879
De Maio U., Mel'nyk T.A., “Homogenization of the Robin problem for the Poisson equation in a thick multi-structure of type 3:2:2”, Asymptot. Anal., 41:2 (2005), 161–177
De Maio U., Mel'nyk T.A., “Asymptotic analysis of the Neumann problem for the Ukawa equation in a thick multi-structure of type 3 : 2 : 2”, Elliptic and Parabolic Problems - A SPECIAL TRIBUTE TO THE WORK OF HAIM BREZIS, Progress in Nonlinear Differential Equations and their Applications, 63, 2005, 207–215
С. А. Назаров, “Весовое анизотропное неравенство Корна для сочленения пластины со стержнями”, Матем. сб., 195:4 (2004), 97–126; S. A. Nazarov, “Weighted anisotropic Korn's inequality for a junction of a plate and a rod”, Sb. Math., 195:4 (2004), 553–583
Mel'nyk T.A., “Hausdorff convergence and asymptotic estimates of the spectrum of a perturbed operator”, Z. Anal. Anwendungen, 20:4 (2001), 941–957