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Mel’nyk, Taras A.

Author ID: melnyk.taras-a Recent zbMATH articles by "Mel’nyk, Taras A."
Published as: Mel’nyk, T. A.; Mel’nik, T. A.; Mel’nyk, Taras A.; Mel’nyk, Taras; Melnyk, Taras A.; Melnik, T. A.
Homepage: https://www.ians.uni-stuttgart.de/institute/team/Melnyk/
External Links: MGP · Google Scholar
all top 5

Serials

12 Journal of Mathematical Sciences (New York)
9 Ukraïns’kyĭ Matematychnyĭ Zhurnal
7 Mathematical Methods in the Applied Sciences
6 Asymptotic Analysis
5 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky
4 Neliniĭni Kolyvannya
3 Differential Equations
3 Visnyk. Seriya: Fizyko-Matematychni Nauky. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka
3 Differential Equations
3 Nonlinear Oscillations
2 Applicable Analysis
2 Journal of Mathematical Analysis and Applications
2 Mathematical Notes
2 Ukrainian Mathematical Journal
2 Ricerche di Matematica
2 Siberian Mathematical Journal
2 Zeitschrift für Analysis und ihre Anwendungen
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Sbornik: Mathematics
2 Doklady Mathematics
2 Nonlinear Oscillations
2 Journal of Mathematical Physics, Analysis, Geometry
1 Nonlinearity
1 Journal of Differential Equations
1 Journal of Optimization Theory and Applications
1 Visnyk L’vivs’kogo Universytetu. Seriya Mekhaniko-Matematychna
1 SIAM Journal on Mathematical Analysis
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Russian Academy of Sciences. Doklady. Mathematics
1 Russian Journal of Mathematical Physics
1 St. Petersburg Mathematical Journal
1 NoDEA. Nonlinear Differential Equations and Applications
1 Izvestiya: Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Journal of Inequalities and Applications
1 Izvestiya. Rossiĭskaya Akademiya Estestvennykh Nauk. Matematika, Matematicheskoe Modelirovanie, Informatika i Upravlenie
1 European Journal of Mechanics. A. Solids
1 Visnyk. Matematyka. Mekhanika. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka
1 Visnyk Kharkivs’kogo Universytetu. Seriya Matematyka, Prykladna Matematyka i Mekhanika
1 Nonlinear Boundary Value Problems
1 Visnyk Odes’kogo Derzhavnogo Universytetu. Seriya Fizyko-Matematychni Nauky
1 Analysis and Applications (Singapore)
1 Networks and Heterogeneous Media
1 Matematychnyĭ Visnyk Naukovogo Tovarystva Im. Shevchenka
1 Ukraïns’kyĭ Matematychnyĭ Visnyk
1 International Journal of Biomathematics
1 Carpathian Mathematical Publications
1 Open Mathematics
1 SpringerBriefs in Mathematics

Publications by Year

Citations contained in zbMATH Open

75 Publications have been cited 564 times in 197 Documents Cited by Year
Homogenization of the Poisson equation in a thick periodic junction. Zbl 0938.35021
Mel’nyk, T. A.
47
1999
Boundary homogenization and reduction of dimension in a Kirchhoff-Love plate. Zbl 1149.74037
Blanchard, Dominique; Gaudiello, Antonio; Mel’nyk, Taras A.
39
2008
Homogenization of a boundary-value problem with a nonlinear boundary condition in a thick junction of type 3:2:1. Zbl 1145.35327
Mel’nyk, Taras A.
29
2008
Asymptotic approximation for the solution to the Robin problem in a thick multi-level junction. Zbl 1093.35011
De Maio, U.; Durante, T.; Mel’nyk, T. A.
26
2005
Homogenization of quasilinear optimal control problems involving a thick multilevel junction of type 3 : 2 : 1. Zbl 1246.49005
Durante, Tiziana; Mel’nyk, Taras A.
22
2012
Asymptotic approximation for the solution to a semi-linear parabolic problem in a thick junction with the branched structure. Zbl 1515.35037
Mel’nyk, Taras A.
20
2015
Homogenization of a nonlinear monotone problem with nonlinear Signorini boundary conditions in a domain with highly rough boundary. Zbl 1403.35035
Gaudiello, Antonio; Mel’nyk, Taras
20
2018
Asymptotic structure of the spectrum of the Neumann problem in a thin comb-like domain. Zbl 0814.73017
Mel’nyk, Taras A.; Nazarov, Serguei A.
19
1994
Asymptotic analysis of an optimal control problem involving a thick two-level junction with alternate type of controls. Zbl 1185.49027
Durante, T.; Mel’nyk, T. A.
18
2010
Asymptotic analysis of boundary-value problems in thin perforated domains with rapidly varying thickness. Zbl 1334.74057
Mel’nyk, T. A.; Popov, A. V.
18
2010
Asymptotic analysis of boundary value and spectral problems in thin perforated regions with rapidly changing thickness and different limiting dimensions. Zbl 1259.35025
Mel’nik, T. A.; Popov, A. V.
15
2012
Asymptotic analysis of a perturbed parabolic problem in a thick junction of type 3:2:2. Zbl 1127.35310
D’Apice, C.; De Maio, U.; Mel’nyk, T. A.
13
2007
Vibrations of a thick periodic junction with concentrated masses. Zbl 1013.35006
Mel’nyk, Taras A.
13
2001
Asymptotic behavior of eigenvalues and eigenfunctions of the Steklov problem in a thick periodic junction. Zbl 1053.35115
Mel’nyk, T. A.
13
2001
Asymptotic analysis of a boundary-value problem in a cascade thick junction with a random transmission zone. Zbl 1180.35071
Chechkin, G. A.; Chechkina, T. P.; D’Apice, C.; de Maio, U.; Mel’nyk, T. A.
12
2009
Homogenization of a nonlinear monotone problem with a big nonlinear Signorini boundary interaction in a domain with highly rough boundary. Zbl 1425.35006
Gaudiello, Antonio; Mel’nyk, Taras
11
2019
Asymptotic analysis of a spectral problem in a periodic thick junction of type 3:2:1. Zbl 0983.35044
Mel’nyk, T. A.
11
2000
Asymptotics of eigenelements to spectral problem in thick cascade junction with concentrated masses. Zbl 1254.35168
Chechkin, Gregory A.; Mel’nyk, Taras A.
10
2012
Homogenization of a singularly perturbed parabolic problem in a thick periodic junction of the type 3:2:1. Zbl 0987.35019
Mel’nyk, T. A.
9
2000
Homogenization of the Signorini boundary-value problem in a thick junction and boundary integral equations for the homogenized problem. Zbl 1217.35019
Mel’nyk, T. A.; Nakvasiuk, Iu. A.; Wendland, W. L.
9
2011
Asymptotic analysis of boundary-value problems in thick three-dimensional multi-level junctions. Zbl 1184.35035
Mel’nik, T. A.; Chechkin, G. A.
8
2009
Asymptotic expansion for the solution to a boundary-value problem in a thin cascade domain with a local joint. Zbl 1348.35019
Klevtsovskiy, A. V.; Mel’nyk, T. A.
8
2016
Spatial-skin effect for eigenvibrations of a thick cascade junction with ’heavy’ concentrated masses. Zbl 1282.35037
Chechkin, G. A.; Mel’nyk, T. A.
8
2014
Homogenization of 3D thick cascade junction with a random transmission zone periodic in one direction. Zbl 1196.35035
Chechkin, G. A.; Chechkina, T. P.; D’Apice, C.; de Maio, U.; Mel’nyk, T. A.
7
2010
Asymptotic analysis of the Neumann problem on the junction of a body and thin heavy rods. Zbl 0988.74043
Mel’nyk, T. A.; Nazarov, S. A.
7
2000
Homogenization of a boundary value problem in a thick cascade junction. Zbl 1202.35021
Mel’nik, T. A.; Chechkin, G. A.
7
2008
Asymptotic analysis of a boundary-value problem with nonlinear multiphase boundary interactions in a perforated domain. Zbl 1224.35107
Mel’nyk, T. A.; Sivak, O. A.
7
2009
Homogenization of the Robin problem for the Poisson equation in a thick multi-structure of type 3:2:2. Zbl 1071.35014
De Maio, U.; Mel’nyk, T. A.
6
2005
Homogenization of a boundary value problem with mixed type of boundary conditions in a thick junction. Zbl 1140.35340
Mel’nik, T. A.; Vashchuk, P. S.
6
2007
Asymptotic expansions of eigenvalues and eigenfunctions for elliptic boundary-value problems with rapidly oscillating coefficients in a perforated cube. Zbl 0844.35072
Mel’nik, T. A.
6
1994
Asymptotic approximations of the solution to a boundary value problem in a thin aneurysm type domain. Zbl 1458.35144
Klevtsovskiy, A. V.; Mel’nyk, T. A.
6
2017
The asymptotics of the solution to the Neumann spectral problem in a domain of the “dense-comb” type. Zbl 0930.35114
Mel’nik, T. A.; Nazarov, S. A.
6
1996
Asymptotic analysis of a parabolic problem in a thick two-level junction. Zbl 1144.35331
Durante, T.; Mel’nyk, T. A.
5
2007
Asymptotic behaviour of eigenvalues and eigenfunctions of the Fourier problem in a thick multilevel junction. Zbl 1118.35018
Mel’nyk, T. A.
5
2006
Asymptotic approximations for eigenvalues and eigenfunctions of a spectral problem in a thin graph-like junction with a concentrated mass in the node. Zbl 1476.35023
Mel’nyk, Taras
5
2021
Homogenization of the Signorini boundary-value problem in a thick plane junction. Zbl 1277.35035
Kazmerchuk, Yu. A.; Mel’nyk, T. A.
5
2009
Asymptotic analysis of boundary-value problems in thick cascade junctions. Zbl 1164.35316
Mel’nyk, T. A.; Chechkin, G. A.
4
2008
Homogenization of a contact problem for a system of densely situated punches. Zbl 0996.74061
Argatov, Ivan I.; Mel’nyk, Taras A.
4
2001
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. Zbl 1259.35026
Mel’nyk, T. A.; Sadovyi, D. Yu.
4
2012
Homogenization of the Neumann problem in thick multi-structures of type 3 : 2 : 2. Zbl 1072.35029
De Maio, U.; Mel’nyk, T. A.
4
2005
Homogenization of the Neumann-Fourier problem in a thick two-level junction of type 3:2:1. Zbl 1141.35328
Mel’nyk, T. A.; Vashchuk, P. S.
4
2006
Homogenization of a semilinear variational inequality in a thick multi-level junction. Zbl 1333.35004
Mel’nyk, Taras A.; Nakvasiuk, Iulia A.
4
2016
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. Zbl 1207.35045
Mel’nik, T. A.; Chechkin, G. A.; Chechkina, T. P.
4
2009
Asymptotic approximations for solutions to quasilinear and linear parabolic problems with different perturbed boundary conditions in perforated domains. Zbl 1290.35149
Mel’nik, T. A.; Sivak, O. A.
4
2011
Asymptotic approximation for the solution to a semilinear parabolic problem in a thin star-shaped junction. Zbl 1380.35150
Klevtsovskiy, Arsen; Mel’nyk, Taras
4
2018
Asymptotic analysis of a mathematical model of the atherosclerosis development. Zbl 1409.92073
Mel’nyk, Taras
4
2019
Hausdorff convergence and asymptotic estimates of the spectrum of a perturbed operator. Zbl 1016.47014
Mel’nyk, T. A.
3
2001
On free vibrations of a thick periodic junction with concentrated masses on the fine rods. Zbl 0953.35016
Mel’nyk, T. A.
3
1999
Averaging of the Robin problem for a thick multilevel junction. Zbl 1150.35358
De Maio, U.; Mel’nyk, T. A.; Perugia, C.
3
2004
Averaging of a boundary-value problem with variation of the type of boundary conditions in a thick two-level junction. Zbl 1150.35360
Mel’nyk, T. A.; Vaschuk, P. S.
3
2005
Asymptotic analysis of a parabolic semilinear problem with nonlinear boundary multiphase interactions in a perforated domain. Zbl 1402.35034
Mel’nik, T. A.; Sivak, O. A.
3
2010
Multiple-scale analysis of boundary-value problems in thick multi-level junctions of type \(3:2:2\). Zbl 1443.35004
Mel’nyk, Taras; Sadovyi, Dmytro
3
2019
Asymptotic approximations for solutions to quasilinear and linear elliptic problems with different perturbed boundary conditions in perforated domains. Zbl 1233.35018
Mel’nyk, Taras A.; Sivak, Olena A.
3
2011
On the singular Rayleigh functional. Zbl 0909.47009
Griniv, R. O.; Mel’nik, T. A.
3
1996
Vibrations and pseudovibrations of thick periodic junctions with concentrated masses. Zbl 0984.35119
Mel’nyk, T. A.
2
2001
Influence of the node on the asymptotic behaviour of the solution to a semilinear parabolic problem in a thin graph-like junction. Zbl 1428.35179
Klevtsovskiy, Arsen V.; Mel’nyk, Taras A.
2
2019
Asymptotic approximations for semilinear parabolic convection-dominated transport problems in thin graph-like networks. Zbl 1522.35033
Mel’nyk, Taras; Rohde, Christian
2
2024
Asymptotic behaviour of eigenvalues and eigenfunctions for the Fourier problem in a thick junction of the type 3:2:1. Zbl 1071.35534
Mel’nyk, T. A.
1
2001
Homogenization of a parabolic Signorini boundary value problem in a thick plane junction. Zbl 1348.35022
Mel’nyk, T. A.; Nakvasiuk, Iu. A.
1
2012
Asymptotic analysis of the Neumann problem for the Ukawa equation in a thick multi-structure of type 3:2:2. Zbl 1160.35327
De Maio, U.; Mel’nyk, T. A.
1
2005
Averaging of integro-quasidifferential equations. Zbl 1006.45004
Mel’nik, T. A.
1
2001
Eigenvibrations of thick cascade junctions with ‘very heavy’ concentrated masses. Zbl 1332.35028
Mel’nyk, T. A.; Chechkin, G. A.
1
2015
Asymptotic expansion of the solution of an elliptic boundary-value problem in a thin cascade domain. Zbl 1303.35004
Klevtsovs’kyi, A. V.; Mel’nyk, T. A.
1
2014
Homogenization of elliptic problems with alternating boundary conditions in a thick two-level junction of type 3:2:2. Zbl 1311.35016
Mel’nik, T. A.; Sadovyi, D. Yu.
1
2010
Asymptotic expansion for the solution of a convection-diffusion problem in a thin graph-like junction. Zbl 1503.35177
Mel’nyk, Taras A.; Klevtsovskiy, Arsen V.
1
2022
Asymptotics of Neumann problem eigenvalues in a “dense comb” type domain. Zbl 0879.35027
Mel’nik, T. A.; Nazarov, S. A.
1
1995
The asymptotic structure of the spectrum in the problem of harmonic oscillations of a hub with heavy spokes. Zbl 0827.35093
Mel’nik, T. A.; Nazarov, S. A.
1
1993
Asymptotic approximation for the solution of a boundary-value problem with varying type of boundary conditions in a thick two-level junction. Zbl 1262.35177
Durante, T.; Mel’nyk, T. A.; Vashchuk, P. S.
1
2006
A generalization of Tikhonov’s theorem for quasidifferential equations. Zbl 0928.39008
Mel’nik, T. A.; Plotnikov, V. A.
1
1997
Averaging of quasidifferential equations with fast and slow variables. Zbl 0919.34041
Mel’nik, T. A.; Plotnikov, V. A.
1
1998
Asymptotics of solutions of discontinuous singularly perturbed boundary value problems. Zbl 0940.34013
Mel’nik, T. A.
1
1999
Averaging certain quasidifferential equations. Zbl 0973.34039
Mel’nik, T. A.
1
1999
Asymptotic expansion for the solution of an elliptic problem with boundary multi-phase interactions of the Dirichlet and Neumann types in a perforated domain. Zbl 1224.35022
Mel’nyk, T. A.; Sivak, O. A.
1
2010
Asymptotic analysis of the Dirichlet spectral problems in thin perforated domains with rapidly varying thickness and different limit dimensions. Zbl 1466.35117
Mel’nyk, Taras A.; Popov, Andrey V.
1
2013
Homogenization of boundary value problems in two-level thick junctions consisting of thin disks with rounded or sharp edges. Zbl 1268.74031
Mel’nik, T. A.; Sadovyi, D. Yu.
1
2013
Asymptotic approximations for semilinear parabolic convection-dominated transport problems in thin graph-like networks. Zbl 1522.35033
Mel’nyk, Taras; Rohde, Christian
2
2024
Asymptotic expansion for the solution of a convection-diffusion problem in a thin graph-like junction. Zbl 1503.35177
Mel’nyk, Taras A.; Klevtsovskiy, Arsen V.
1
2022
Asymptotic approximations for eigenvalues and eigenfunctions of a spectral problem in a thin graph-like junction with a concentrated mass in the node. Zbl 1476.35023
Mel’nyk, Taras
5
2021
Homogenization of a nonlinear monotone problem with a big nonlinear Signorini boundary interaction in a domain with highly rough boundary. Zbl 1425.35006
Gaudiello, Antonio; Mel’nyk, Taras
11
2019
Asymptotic analysis of a mathematical model of the atherosclerosis development. Zbl 1409.92073
Mel’nyk, Taras
4
2019
Multiple-scale analysis of boundary-value problems in thick multi-level junctions of type \(3:2:2\). Zbl 1443.35004
Mel’nyk, Taras; Sadovyi, Dmytro
3
2019
Influence of the node on the asymptotic behaviour of the solution to a semilinear parabolic problem in a thin graph-like junction. Zbl 1428.35179
Klevtsovskiy, Arsen V.; Mel’nyk, Taras A.
2
2019
Homogenization of a nonlinear monotone problem with nonlinear Signorini boundary conditions in a domain with highly rough boundary. Zbl 1403.35035
Gaudiello, Antonio; Mel’nyk, Taras
20
2018
Asymptotic approximation for the solution to a semilinear parabolic problem in a thin star-shaped junction. Zbl 1380.35150
Klevtsovskiy, Arsen; Mel’nyk, Taras
4
2018
Asymptotic approximations of the solution to a boundary value problem in a thin aneurysm type domain. Zbl 1458.35144
Klevtsovskiy, A. V.; Mel’nyk, T. A.
6
2017
Asymptotic expansion for the solution to a boundary-value problem in a thin cascade domain with a local joint. Zbl 1348.35019
Klevtsovskiy, A. V.; Mel’nyk, T. A.
8
2016
Homogenization of a semilinear variational inequality in a thick multi-level junction. Zbl 1333.35004
Mel’nyk, Taras A.; Nakvasiuk, Iulia A.
4
2016
Asymptotic approximation for the solution to a semi-linear parabolic problem in a thick junction with the branched structure. Zbl 1515.35037
Mel’nyk, Taras A.
20
2015
Eigenvibrations of thick cascade junctions with ‘very heavy’ concentrated masses. Zbl 1332.35028
Mel’nyk, T. A.; Chechkin, G. A.
1
2015
Spatial-skin effect for eigenvibrations of a thick cascade junction with ’heavy’ concentrated masses. Zbl 1282.35037
Chechkin, G. A.; Mel’nyk, T. A.
8
2014
Asymptotic expansion of the solution of an elliptic boundary-value problem in a thin cascade domain. Zbl 1303.35004
Klevtsovs’kyi, A. V.; Mel’nyk, T. A.
1
2014
Asymptotic analysis of the Dirichlet spectral problems in thin perforated domains with rapidly varying thickness and different limit dimensions. Zbl 1466.35117
Mel’nyk, Taras A.; Popov, Andrey V.
1
2013
Homogenization of boundary value problems in two-level thick junctions consisting of thin disks with rounded or sharp edges. Zbl 1268.74031
Mel’nik, T. A.; Sadovyi, D. Yu.
1
2013
Homogenization of quasilinear optimal control problems involving a thick multilevel junction of type 3 : 2 : 1. Zbl 1246.49005
Durante, Tiziana; Mel’nyk, Taras A.
22
2012
Asymptotic analysis of boundary value and spectral problems in thin perforated regions with rapidly changing thickness and different limiting dimensions. Zbl 1259.35025
Mel’nik, T. A.; Popov, A. V.
15
2012
Asymptotics of eigenelements to spectral problem in thick cascade junction with concentrated masses. Zbl 1254.35168
Chechkin, Gregory A.; Mel’nyk, Taras A.
10
2012
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. Zbl 1259.35026
Mel’nyk, T. A.; Sadovyi, D. Yu.
4
2012
Homogenization of a parabolic Signorini boundary value problem in a thick plane junction. Zbl 1348.35022
Mel’nyk, T. A.; Nakvasiuk, Iu. A.
1
2012
Homogenization of the Signorini boundary-value problem in a thick junction and boundary integral equations for the homogenized problem. Zbl 1217.35019
Mel’nyk, T. A.; Nakvasiuk, Iu. A.; Wendland, W. L.
9
2011
Asymptotic approximations for solutions to quasilinear and linear parabolic problems with different perturbed boundary conditions in perforated domains. Zbl 1290.35149
Mel’nik, T. A.; Sivak, O. A.
4
2011
Asymptotic approximations for solutions to quasilinear and linear elliptic problems with different perturbed boundary conditions in perforated domains. Zbl 1233.35018
Mel’nyk, Taras A.; Sivak, Olena A.
3
2011
Asymptotic analysis of an optimal control problem involving a thick two-level junction with alternate type of controls. Zbl 1185.49027
Durante, T.; Mel’nyk, T. A.
18
2010
Asymptotic analysis of boundary-value problems in thin perforated domains with rapidly varying thickness. Zbl 1334.74057
Mel’nyk, T. A.; Popov, A. V.
18
2010
Homogenization of 3D thick cascade junction with a random transmission zone periodic in one direction. Zbl 1196.35035
Chechkin, G. A.; Chechkina, T. P.; D’Apice, C.; de Maio, U.; Mel’nyk, T. A.
7
2010
Asymptotic analysis of a parabolic semilinear problem with nonlinear boundary multiphase interactions in a perforated domain. Zbl 1402.35034
Mel’nik, T. A.; Sivak, O. A.
3
2010
Homogenization of elliptic problems with alternating boundary conditions in a thick two-level junction of type 3:2:2. Zbl 1311.35016
Mel’nik, T. A.; Sadovyi, D. Yu.
1
2010
Asymptotic expansion for the solution of an elliptic problem with boundary multi-phase interactions of the Dirichlet and Neumann types in a perforated domain. Zbl 1224.35022
Mel’nyk, T. A.; Sivak, O. A.
1
2010
Asymptotic analysis of a boundary-value problem in a cascade thick junction with a random transmission zone. Zbl 1180.35071
Chechkin, G. A.; Chechkina, T. P.; D’Apice, C.; de Maio, U.; Mel’nyk, T. A.
12
2009
Asymptotic analysis of boundary-value problems in thick three-dimensional multi-level junctions. Zbl 1184.35035
Mel’nik, T. A.; Chechkin, G. A.
8
2009
Asymptotic analysis of a boundary-value problem with nonlinear multiphase boundary interactions in a perforated domain. Zbl 1224.35107
Mel’nyk, T. A.; Sivak, O. A.
7
2009
Homogenization of the Signorini boundary-value problem in a thick plane junction. Zbl 1277.35035
Kazmerchuk, Yu. A.; Mel’nyk, T. A.
5
2009
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. Zbl 1207.35045
Mel’nik, T. A.; Chechkin, G. A.; Chechkina, T. P.
4
2009
Boundary homogenization and reduction of dimension in a Kirchhoff-Love plate. Zbl 1149.74037
Blanchard, Dominique; Gaudiello, Antonio; Mel’nyk, Taras A.
39
2008
Homogenization of a boundary-value problem with a nonlinear boundary condition in a thick junction of type 3:2:1. Zbl 1145.35327
Mel’nyk, Taras A.
29
2008
Homogenization of a boundary value problem in a thick cascade junction. Zbl 1202.35021
Mel’nik, T. A.; Chechkin, G. A.
7
2008
Asymptotic analysis of boundary-value problems in thick cascade junctions. Zbl 1164.35316
Mel’nyk, T. A.; Chechkin, G. A.
4
2008
Asymptotic analysis of a perturbed parabolic problem in a thick junction of type 3:2:2. Zbl 1127.35310
D’Apice, C.; De Maio, U.; Mel’nyk, T. A.
13
2007
Homogenization of a boundary value problem with mixed type of boundary conditions in a thick junction. Zbl 1140.35340
Mel’nik, T. A.; Vashchuk, P. S.
6
2007
Asymptotic analysis of a parabolic problem in a thick two-level junction. Zbl 1144.35331
Durante, T.; Mel’nyk, T. A.
5
2007
Asymptotic behaviour of eigenvalues and eigenfunctions of the Fourier problem in a thick multilevel junction. Zbl 1118.35018
Mel’nyk, T. A.
5
2006
Homogenization of the Neumann-Fourier problem in a thick two-level junction of type 3:2:1. Zbl 1141.35328
Mel’nyk, T. A.; Vashchuk, P. S.
4
2006
Asymptotic approximation for the solution of a boundary-value problem with varying type of boundary conditions in a thick two-level junction. Zbl 1262.35177
Durante, T.; Mel’nyk, T. A.; Vashchuk, P. S.
1
2006
Asymptotic approximation for the solution to the Robin problem in a thick multi-level junction. Zbl 1093.35011
De Maio, U.; Durante, T.; Mel’nyk, T. A.
26
2005
Homogenization of the Robin problem for the Poisson equation in a thick multi-structure of type 3:2:2. Zbl 1071.35014
De Maio, U.; Mel’nyk, T. A.
6
2005
Homogenization of the Neumann problem in thick multi-structures of type 3 : 2 : 2. Zbl 1072.35029
De Maio, U.; Mel’nyk, T. A.
4
2005
Averaging of a boundary-value problem with variation of the type of boundary conditions in a thick two-level junction. Zbl 1150.35360
Mel’nyk, T. A.; Vaschuk, P. S.
3
2005
Asymptotic analysis of the Neumann problem for the Ukawa equation in a thick multi-structure of type 3:2:2. Zbl 1160.35327
De Maio, U.; Mel’nyk, T. A.
1
2005
Averaging of the Robin problem for a thick multilevel junction. Zbl 1150.35358
De Maio, U.; Mel’nyk, T. A.; Perugia, C.
3
2004
Vibrations of a thick periodic junction with concentrated masses. Zbl 1013.35006
Mel’nyk, Taras A.
13
2001
Asymptotic behavior of eigenvalues and eigenfunctions of the Steklov problem in a thick periodic junction. Zbl 1053.35115
Mel’nyk, T. A.
13
2001
Homogenization of a contact problem for a system of densely situated punches. Zbl 0996.74061
Argatov, Ivan I.; Mel’nyk, Taras A.
4
2001
Hausdorff convergence and asymptotic estimates of the spectrum of a perturbed operator. Zbl 1016.47014
Mel’nyk, T. A.
3
2001
Vibrations and pseudovibrations of thick periodic junctions with concentrated masses. Zbl 0984.35119
Mel’nyk, T. A.
2
2001
Asymptotic behaviour of eigenvalues and eigenfunctions for the Fourier problem in a thick junction of the type 3:2:1. Zbl 1071.35534
Mel’nyk, T. A.
1
2001
Averaging of integro-quasidifferential equations. Zbl 1006.45004
Mel’nik, T. A.
1
2001
Asymptotic analysis of a spectral problem in a periodic thick junction of type 3:2:1. Zbl 0983.35044
Mel’nyk, T. A.
11
2000
Homogenization of a singularly perturbed parabolic problem in a thick periodic junction of the type 3:2:1. Zbl 0987.35019
Mel’nyk, T. A.
9
2000
Asymptotic analysis of the Neumann problem on the junction of a body and thin heavy rods. Zbl 0988.74043
Mel’nyk, T. A.; Nazarov, S. A.
7
2000
Homogenization of the Poisson equation in a thick periodic junction. Zbl 0938.35021
Mel’nyk, T. A.
47
1999
On free vibrations of a thick periodic junction with concentrated masses on the fine rods. Zbl 0953.35016
Mel’nyk, T. A.
3
1999
Asymptotics of solutions of discontinuous singularly perturbed boundary value problems. Zbl 0940.34013
Mel’nik, T. A.
1
1999
Averaging certain quasidifferential equations. Zbl 0973.34039
Mel’nik, T. A.
1
1999
Averaging of quasidifferential equations with fast and slow variables. Zbl 0919.34041
Mel’nik, T. A.; Plotnikov, V. A.
1
1998
A generalization of Tikhonov’s theorem for quasidifferential equations. Zbl 0928.39008
Mel’nik, T. A.; Plotnikov, V. A.
1
1997
The asymptotics of the solution to the Neumann spectral problem in a domain of the “dense-comb” type. Zbl 0930.35114
Mel’nik, T. A.; Nazarov, S. A.
6
1996
On the singular Rayleigh functional. Zbl 0909.47009
Griniv, R. O.; Mel’nik, T. A.
3
1996
Asymptotics of Neumann problem eigenvalues in a “dense comb” type domain. Zbl 0879.35027
Mel’nik, T. A.; Nazarov, S. A.
1
1995
Asymptotic structure of the spectrum of the Neumann problem in a thin comb-like domain. Zbl 0814.73017
Mel’nyk, Taras A.; Nazarov, Serguei A.
19
1994
Asymptotic expansions of eigenvalues and eigenfunctions for elliptic boundary-value problems with rapidly oscillating coefficients in a perforated cube. Zbl 0844.35072
Mel’nik, T. A.
6
1994
The asymptotic structure of the spectrum in the problem of harmonic oscillations of a hub with heavy spokes. Zbl 0827.35093
Mel’nik, T. A.; Nazarov, S. A.
1
1993
all top 5

Cited by 157 Authors

43 Mel’nyk, Taras A.
23 Chechkin, Gregory Aleksandrovich
18 Gaudiello, Antonio
12 Pereira, Marcone Corrêa
11 De Maio, Umberto
10 Nandakumaran, Akambadath Keerthiyil
10 Perugia, Carmen
8 Aiyappan, Srinivasan
8 Arrieta, José M.
7 Faella, Luisa
7 Nakasato, Jean Carlos
6 Amirat, Youcef Aït
6 Sufian, Abu
5 Cardone, Giuseppe
5 D’Apice, Ciro
5 Klevtsovskiy, Arsen V.
5 Nazarov, Sergeĭ Aleksandrovich
5 Piatnitski, Andrey L.
5 Prakash, Ravi
5 Sardar, Bidhan Chandra
5 Shaposhnikova, Tatiana A.
5 Villanueva-Pesqueira, Manuel
4 Bodart, Olivier
4 Bunoiu, Renata
4 Chechkina, Aleksandra Grigorievna
4 Chechkina, Tatiana P.
4 Chepyzhov, Vladimir V.
4 Durante, Tiziana
4 Gadyl’shin, Rustem R.
4 Gómez, Delfina
4 Khrabustovskyi, Andrii
3 Bekmaganbetov, Kuanysh Abdrakhmanovich
3 Blanchard, Dominique
3 Guibé, Olivier
3 Khludnev, Aleksandr Mikhaĭlovich
3 Monsurrò, Sara
3 Nakvasiuk, Iulia A.
3 Rohde, Christian
3 Sadovyi, D. Yu.
3 Zhang, Shougui
3 Zubova, Maria N.
2 Argatov, Ivan I.
2 Borisov, Denis Ivanovich
2 Capitanelli, Raffaela
2 Donato, Patrizia
2 Garg, Swati
2 Golovatyj, Yuriy Danilovich
2 Jäger, Willi
2 Klevtsovs’kyi, A. V.
2 Lanza de Cristoforis, Massimo
2 Li, Xiaolin
2 Mossino, Jacqueline
2 Nandakumaran, Akamabadath K.
2 Neuss-Radu, Maria
2 Nogueira, Ariadne
2 Pérez-martínez, María-eugenia
2 Pérez, Eugenia
2 Pettersson, Klas
2 Plum, Michael
2 Pocci, Cristina
2 Ptashnyk, Mariya
2 Sili, Ali
2 Sivak, Olena A.
2 Thazhathethil, Renjith
2 Vashchuk, P. S.
2 Voss, Heinrich
2 Wang, Juan
2 Zhao, Jie
1 Abdullazade, N. N.
1 Anguiano, María
1 Avila, Jake
1 Barros, Saulo R. M.
1 Benseridi, Hamid
1 Bikmetov, Aĭdar Renatovich
1 Burazin, Krešimir
1 Byrne, Helen Mary
1 Cabarrubias, Bituin C.
1 Chakib, Abdelkrim
1 Cîndea, Nicolae
1 Cioranescu, Doina
1 Da Silva, Ricardo Parreira
1 Damlamian, Alain
1 De Blasi, Francesco Saverio
1 Dmitriev, Mikhail G.
1 El Jarroudi, Mustapha
1 Frank, Florian
1 Gadyl’shin, Timur Rustemovich
1 Gahn, Markus
1 Gama, Ricardo
1 Giachetti, Daniela
1 Goncharenko, M. V.
1 Goritskiĭ, Andreĭ Yur’evich
1 Griniv, R. O.
1 Griso, Georges
1 Gryshchuk, Serhii V.
1 Hadri, Aissam
1 Heczko, Jan
1 Hörl, Maximilian
1 Hut, V. M.
1 Ijioma, Ekeoma Rowland
...and 57 more Authors
all top 5

Cited in 80 Serials

19 Journal of Mathematical Sciences (New York)
15 Mathematical Methods in the Applied Sciences
9 Journal of Mathematical Analysis and Applications
8 Asymptotic Analysis
7 Applicable Analysis
7 Journal of Differential Equations
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 SIAM Journal on Mathematical Analysis
5 Nonlinear Analysis. Real World Applications
4 Ukrainian Mathematical Journal
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Applied Mathematics and Optimization
4 Communications in Contemporary Mathematics
3 Journal of Computational and Applied Mathematics
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Calculus of Variations and Partial Differential Equations
3 Doklady Mathematics
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Communications on Pure and Applied Analysis
2 Nonlinearity
2 Applied Mathematics and Computation
2 Journal of Optimization Theory and Applications
2 Ricerche di Matematica
2 Zeitschrift für Analysis und ihre Anwendungen
2 NoDEA. Nonlinear Differential Equations and Applications
2 Differential Equations
2 Discrete and Continuous Dynamical Systems. Series B
2 Analysis and Applications (Singapore)
2 Boundary Value Problems
2 Complex Variables and Elliptic Equations
2 Nonlinear Oscillations
2 Networks and Heterogeneous Media
2 Evolution Equations and Control Theory
1 Archive for Rational Mechanics and Analysis
1 Computers & Mathematics with Applications
1 International Journal of Engineering Science
1 Journal of Applied Mathematics and Mechanics
1 Journal of Mathematical Biology
1 Journal of Mathematical Physics
1 Mathematical Notes
1 Physica A
1 Chaos, Solitons and Fractals
1 Prikladnaya Matematika i Mekhanika
1 Advances in Mathematics
1 Mechanics Research Communications
1 Quarterly of Applied Mathematics
1 Transactions of the Moscow Mathematical Society
1 Applied Numerical Mathematics
1 Applications of Mathematics
1 Computational Mathematics and Mathematical Physics
1 Automation and Remote Control
1 Journal of Elasticity
1 SIAM Journal on Applied Mathematics
1 Stochastic Processes and their Applications
1 Set-Valued Analysis
1 Topological Methods in Nonlinear Analysis
1 Russian Journal of Mathematical Physics
1 St. Petersburg Mathematical Journal
1 ETNA. Electronic Transactions on Numerical Analysis
1 Izvestiya: Mathematics
1 Discrete and Continuous Dynamical Systems
1 Mathematical Problems in Engineering
1 Computing and Visualization in Science
1 Journal of Inequalities and Applications
1 Revista Matemática Complutense
1 Journal of Mathematical Fluid Mechanics
1 Mathematical Modelling and Analysis
1 Nonlinear Dynamics and Systems Theory
1 Advanced Nonlinear Studies
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Multiscale Modeling & Simulation
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 International Journal of Biomathematics
1 Set-Valued and Variational Analysis
1 Ufimskiĭ Matematicheskiĭ Zhurnal
1 Advances in Nonlinear Analysis
1 Mathematics and Mechanics of Complex Systems
1 Open Mathematics
1 Mechanics of Solids

Citations by Year