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Mel'nik Taras Anatol'evich

Publications in Math-Net.Ru

  1. Eigenvibrations of thick cascade junctions with ‘very heavy’ concentrated masses

    Izv. RAN. Ser. Mat., 79:3 (2015),  41–86
  2. 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
  3. Asymptotic analysis of boundary-value problems in thick three-dimensional multi-level junctions

    Mat. Sb., 200:3 (2009),  49–74
  4. Asymptotic analysis of a parabolic problem in a thick two-level junction

    Zh. Mat. Fiz. Anal. Geom., 3:3 (2007),  313–341
  5. 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
  6. Integro-Quasidifferential Equations

    Differ. Uravn., 37:12 (2001),  1702–1704
  7. Averaging of Integro-Quasidifferential Equations

    Differ. Uravn., 37:6 (2001),  820–824
  8. Asymptotic analysis of the Neumann problem on the junction of a body and thin heavy rods

    Algebra i Analiz, 12:2 (2000),  188–238
  9. Stability and attraction in quasidifferential equations

    Differ. Uravn., 35:3 (1999),  425
  10. Averaging of some quasidifferential equations

    Mat. Zametki, 65:4 (1999),  587–593
  11. On averaging for systems with fast and slow variables on an infinite interval

    Sibirsk. Mat. Zh., 40:6 (1999),  1302–1304
  12. Averaging of quasidifferential equations with fast and slow variables

    Sibirsk. Mat. Zh., 39:5 (1998),  1098–1103
  13. An iterative method for solving systems of quasidifferential equations with slow and fast variables

    Differ. Uravn., 33:10 (1997),  1329–1333
  14. A generalization of a theorem of A. N. Tikhonov for quasidifferential equations

    Differ. Uravn., 33:8 (1997),  1030–1034
  15. On the singular Rayleigh functional

    Mat. Zametki, 60:1 (1996),  130–134
  16. Asymptotics of the eigenvalues of the Neumann problem in a domain of “tooth comb” type

    Dokl. Akad. Nauk, 342:1 (1995),  23–25
  17. 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


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