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ЖУРНАЛЫ // Алгебра и анализ

Алгебра и анализ, 2000, том 12, выпуск 2, страницы 188–238 (Mi aa1105)

Асимптотический анализ задачи Неймана на соединении тела с тонкими тяжелыми стержнями
Т. А. Мельник, С. А. Назаров

Эта публикация цитируется в следующих статьяx:
  1. 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  crossref  isi
  2. Mel'nyk T.A., Nakvasiuk I.A., “Homogenization of a semilinear variational inequality in a thick multi-level junction”, J. Inequal. Appl., 2016, 104  crossref  mathscinet  zmath  isi  scopus
  3. 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  mathnet  crossref  mathscinet  elib; 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  crossref  isi  elib
  4. 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  crossref  mathscinet  zmath  isi  elib  scopus
  5. 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  crossref  mathscinet  zmath  isi  elib  scopus
  6. 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  crossref  mathscinet  zmath  isi  scopus
  7. 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  crossref  mathscinet  zmath  isi  elib  scopus
  8. Т. П. Чечкина, “Усреднение в каскадных соединениях с “широкой” трансмиссионной областью”, Уравнения в частных производных, СМФН, 39, РУДН, М., 2011, 151–162  mathnet  mathscinet; T. P. Chechkina, “Averaging in cascade junctions with a “wide” transmission domain”, Journal of Mathematical Sciences, 190:1 (2013), 157–169  crossref
  9. 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  crossref  mathscinet  zmath  adsnasa  isi  scopus
  10. 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  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
  11. Т. А. Мельник, Г. А. Чечкин, “Асимптотический анализ краевых задач в густых трехмерных многоуровневых соединениях”, Матем. сб., 200:3 (2009), 49–74  mathnet  crossref  mathscinet  zmath  adsnasa  elib; 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  crossref  isi
  12. 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  crossref  mathscinet  zmath  isi  elib  scopus
  13. 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  crossref  mathscinet  zmath  isi  elib  scopus
  14. 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  mathnet  mathscinet  zmath; 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  crossref  elib
  15. 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  crossref  mathscinet  zmath  adsnasa  isi  scopus
  16. 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  crossref  mathscinet  zmath  isi
  17. Мельник Т.А., Ващук П.С., “Усреднение краевой задачи со сменным типом граничных условий в густом соединении”, Дифференц. уравнения, 43:5 (2007), 677–684  mathscinet  zmath  elib; 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  crossref  mathscinet  zmath  isi  scopus
  18. 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  mathnet  mathscinet  zmath  elib
  19. 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  crossref  isi  scopus
  20. 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  mathnet  mathscinet  zmath
  21. 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  crossref  mathscinet  zmath  isi  scopus
  22. 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  crossref  mathscinet  zmath  adsnasa  isi  scopus
  23. 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  mathscinet  zmath  isi
  24. 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  crossref  mathscinet  zmath  isi  scopus
  25. С. А. Назаров, “Весовое анизотропное неравенство Корна для сочленения пластины со стержнями”, Матем. сб., 195:4 (2004), 97–126  mathnet  crossref  mathscinet  zmath; S. A. Nazarov, “Weighted anisotropic Korn's inequality for a junction of a plate and a rod”, Sb. Math., 195:4 (2004), 553–583  crossref  isi  elib
  26. Mel'nyk T.A., “Hausdorff convergence and asymptotic estimates of the spectrum of a perturbed operator”, Z. Anal. Anwendungen, 20:4 (2001), 941–957  crossref  mathscinet  zmath  isi


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