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Publications in Math-Net.Ru |
Citations |
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2015 |
| 1. |
T. A. Mel'nik, G. A. Chechkin, “Eigenvibrations of thick cascade junctions with ‘very heavy’ concentrated masses”, Izv. RAN. Ser. Mat., 79:3 (2015), 41–86     ; Izv. Math., 79:3 (2015), 467–511   |
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2012 |
| 2. |
T. A. Mel'nik, A. V. Popov, “Asymptotic analysis of boundary value and spectral problems in thin perforated regions with rapidly changing thickness and different limiting dimensions”, Mat. Sb., 203:8 (2012), 97–124 ; Sb. Math., 203:8 (2012), 1169–1195 |
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2009 |
| 3. |
T. A. Mel'nik, G. A. Chechkin, “Asymptotic analysis of boundary-value problems in thick three-dimensional multi-level junctions”, Mat. Sb., 200:3 (2009), 49–74 ; Sb. Math., 200:3 (2009), 357–383 |
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2007 |
| 4. |
T. Durante, T. A. Mel'nik, “Asymptotic analysis of a parabolic problem in a thick two-level junction”, Zh. Mat. Fiz. Anal. Geom., 3:3 (2007), 313–341 |
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2006 |
| 5. |
T. A. Mel'nik, P. S. Vashchuk, “Homogenization of the Neumann–Fourier problem in a thick two-level junction of type 3:2:1”, Zh. Mat. Fiz. Anal. Geom., 2:3 (2006), 318–337 |
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2001 |
| 6. |
T. A. Mel'nik, “Integro-Quasidifferential Equations”, Differ. Uravn., 37:12 (2001), 1702–1704 ; Differ. Equ., 37:12 (2001), 1792–1795 |
| 7. |
T. A. Mel'nik, “Averaging of Integro-Quasidifferential Equations”, Differ. Uravn., 37:6 (2001), 820–824 ; Differ. Equ., 37:6 (2001), 861–865 |
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2000 |
| 8. |
T. A. Mel'nik, S. A. Nazarov, “Asymptotic analysis of the Neumann problem on the junction of a body and thin heavy rods”, Algebra i Analiz, 12:2 (2000), 188–238 ; St. Petersburg Math. J., 12:2 (2001), 317–351 |
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1999 |
| 9. |
T. A. Mel'nik, “Stability and attraction in quasidifferential equations”, Differ. Uravn., 35:3 (1999), 425 ; Differ. Equ., 35:3 (1999), 429 |
| 10. |
T. A. Mel'nik, “Averaging of some quasidifferential equations”, Mat. Zametki, 65:4 (1999), 587–593 ; Math. Notes, 65:4 (1999), 490–495 |
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| 11. |
T. A. Mel'nik, “On averaging for systems with fast and slow variables on an infinite interval”, Sibirsk. Mat. Zh., 40:6 (1999), 1302–1304 ; Siberian Math. J., 40:6 (1999), 1103–1104 |
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1998 |
| 12. |
T. A. Mel'nik, V. A. Plotnikov, “Averaging of quasidifferential equations with fast and slow variables”, Sibirsk. Mat. Zh., 39:5 (1998), 1098–1103 ; Siberian Math. J., 39:5 (1998), 947–952 |
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1997 |
| 13. |
T. A. Mel'nik, “An iterative method for solving systems of quasidifferential equations with slow and fast variables”, Differ. Uravn., 33:10 (1997), 1329–1333 ; Differ. Equ., 33:10 (1997), 1335–1340 |
| 14. |
T. A. Mel'nik, V. A. Plotnikov, “A generalization of a theorem of A. N. Tikhonov for quasidifferential equations”, Differ. Uravn., 33:8 (1997), 1030–1034 ; Differ. Equ., 33:8 (1997), 1036–1040 |
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1996 |
| 15. |
R. O. Hryniv, T. A. Mel'nik, “On the singular Rayleigh functional”, Mat. Zametki, 60:1 (1996), 130–134 ; Math. Notes, 60:1 (1996), 97–100 |
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1995 |
| 16. |
T. A. Mel'nik, S. A. Nazarov, “Asymptotics of the eigenvalues of the Neumann problem in a domain
of “tooth comb” type”, Dokl. Akad. Nauk, 342:1 (1995), 23–25 |
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1993 |
| 17. |
T. A. Mel'nik, S. A. Nazarov, “Asymptotic structure of the spectrum in a problem on harmonic
vibrations of a hub with heavy spokes”, Dokl. Akad. Nauk, 333:1 (1993), 13–15 ; Dokl. Math., 48:3 (1994), 428–432 |
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