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Butuzov, Valentin Fedorovich

Statistics Math-Net.Ru
Total publications: 116
Scientific articles: 103
Presentations: 1

Number of views:
This page:3848
Abstract pages:22751
Full texts:8167
References:1715
Doctor of physico-mathematical sciences (1979)
Birth date: 23.11.1939
E-mail:

http://www.mathnet.ru/eng/person8753
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List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/251172

Publications in Math-Net.Ru
2019
1. V. F. Butuzov, “Asymptotics of a boundary-layer solution to a stationary partly dissipative system with a multiple root of the degenerate equation”, Mat. Sb., 210:11 (2019),  76–102  mathnet
2. V. F. Butuzov, “Асимптотика решения частично диссипативной системы уравнений с многозонным пограничным слоем”, Zh. Vychisl. Mat. Mat. Fiz., 59:10 (2019),  1731–1751  mathnet  elib
3. V. F. Butuzov, “Асимптотика и устойчивость стационарного погранслойного решения частично диссипативной системы уравнений”, Zh. Vychisl. Mat. Mat. Fiz., 59:7 (2019),  1201–1229  mathnet  elib
2018
4. V. F. Butuzov, N. N. Nefedov, L. Recke, K. R. Schneider, “Existence, asymptotics, stability and region of attraction of a periodic boundary layer solution in case of a double root of the degenerate equation”, Comput. Math. Math. Phys., 58:12 (2018), 1989–2001  mathnet  isi  elib  scopus
5. V. F. Butuzov, “On asymptotics for the solution of a singularly perturbed parabolic problem with a multizone internal transition layer”, Zh. Vychisl. Mat. Mat. Fiz., 58:6 (2018),  961–987  mathnet  elib; Comput. Math. Math. Phys., 58:6 (2018), 925–949  isi  scopus
2017
6. V. F. Butuzov, “Asymptotic behaviour and stability of solutions of a singularly perturbed elliptic problem with a triple root of the degenerate equation”, Izv. RAN. Ser. Mat., 81:3 (2017),  21–44  mathnet  mathscinet  elib; Izv. Math., 81:3 (2017), 481–504  isi  scopus
7. V. F. Butuzov, “On contrast structures with a multizonal interior layer”, Model. Anal. Inform. Sist., 24:3 (2017),  288–308  mathnet  elib
2016
8. V. F. Butuzov, V. A. Beloshapko, “Singularly perturbed elliptic Dirichlet problem with a multiple root of the degenerate equation”, Model. Anal. Inform. Sist., 23:5 (2016),  515–528  mathnet  mathscinet  elib
9. V. F. Butuzov, N. N. Nefedov, L. Recke, K. Schneider, “Asymptotics, stability and region of attraction of a periodic solution to a singularly perturbed parabolic problem in case of a multiple root of the degenerate equation”, Model. Anal. Inform. Sist., 23:3 (2016),  248–258  mathnet  mathscinet  elib; Automatic Control and Computer Sciences, 51:7 (2017), 606–613
10. V. F. Butuzov, “On the Dependence of the Structure of Boundary Layers on the Boundary Conditions in a Singularly Perturbed Boundary-Value Problem with Multiple Root of the Related Degenerate Equation”, Mat. Zametki, 99:2 (2016),  201–214  mathnet  mathscinet  elib; Math. Notes, 99:2 (2016), 210–221  isi  scopus
11. V. F. Butuzov, “Asymptotic behaviour of the solution to a singularly perturbed partially dissipative system with a multiple root of the degenerate equation”, Mat. Sb., 207:8 (2016),  73–100  mathnet  mathscinet  elib; Sb. Math., 207:8 (2016), 1100–1126  isi  scopus
12. V. A. Beloshapko, V. F. Butuzov, “Asymptotics of the solution to a singularly perturbed elliptic problem with a three-zone boundary layer”, Zh. Vychisl. Mat. Mat. Fiz., 56:8 (2016),  1428–1440  mathnet  elib; Comput. Math. Math. Phys., 56:8 (2016), 1414–1425  isi  scopus
13. V. F. Butuzov, A. I. Bychkov, “Asymptotics of the solution to an initial boundary value problem for a singularly perturbed parabolic equation in the case of a triple root of the degenerate equation”, Zh. Vychisl. Mat. Mat. Fiz., 56:4 (2016),  605–624  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 56:4 (2016), 593–611  isi  scopus
2015
14. V. F. Butuzov, A. I. Bychkov, “The initial-boundary value problem for a singularly perturbed parabolic equation in the case of double and triple root of the degenerate equation”, Chebyshevskii Sb., 16:4 (2015),  41–76  mathnet  elib
15. V. F. Butuzov, “Singularly perturbed boundary value problem with multizonal interior transitional layer”, Model. Anal. Inform. Sist., 22:1 (2015),  5–22  mathnet  mathscinet  elib; Automatic Control and Computer Sciences, 49:7 (2015), 493–507  isi  elib  scopus
2014
16. V. F. Butuzov, I. V. Denisov, “Corner Boundary Layer in Nonlinear Elliptic Problems Containing Derivatives of First Order”, Model. Anal. Inform. Sist., 21:1 (2014),  7–31  mathnet
2013
17. V. F. Butuzov, “On the Special Properties of the Boundary Layer in Singularly Perturbed Problems with Multiple Root of the Degenerate Equation”, Mat. Zametki, 94:1 (2013),  68–80  mathnet  mathscinet  zmath  elib; Math. Notes, 94:1 (2013), 60–70  isi  elib  scopus
18. V. F. Butuzov, N. T. Levashova, A. A. Mel'nikova, “A steplike contrast structure in a singularly perturbed system of elliptic equations”, Zh. Vychisl. Mat. Mat. Fiz., 53:9 (2013),  1427–1447  mathnet  elib; Comput. Math. Math. Phys., 53:9 (2013), 1239–1259  isi  elib  scopus
19. V. A. Beloshapko, V. F. Butuzov, “A singularly perturbed elliptic problem in the case of a multiple root of the degenerate equation”, Zh. Vychisl. Mat. Mat. Fiz., 53:8 (2013),  1291–1301  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 53:8 (2013), 1117–1127  isi  elib  scopus
2012
20. V. F. Butuzov, N. T. Levashova, A. A. Mel'nikova, “Steplike contrast structure in a singularly perturbed system of equations with different powers of small parameter”, Zh. Vychisl. Mat. Mat. Fiz., 52:11 (2012),  1983–2003  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 52:11 (2012), 1526–1546  isi  elib  scopus
2011
21. V. F. Butuzov, A. V. Kostin, “Singularly perturbed partially dissipative reaction-diffusion systems in the case of intersecting roots of the degenerate equation”, Chebyshevskii Sb., 12:3 (2011),  22–44  mathnet  mathscinet
22. V. F. Butuzov, “On periodic solutions to singularly perturbed parabolic problems in the case of multiple roots of the degenerate equation”, Zh. Vychisl. Mat. Mat. Fiz., 51:1 (2011),  44–55  mathnet  mathscinet; Comput. Math. Math. Phys., 51:1 (2011), 40–50  isi  scopus
2010
23. A. B. Vasil'eva, V. F. Butuzov, N. N. Nefedov, “Singularly perturbed problems with boundary and internal layers”, Tr. Mat. Inst. Steklova, 268 (2010),  268–283  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 268 (2010), 258–273  isi  elib  scopus
2007
24. V. F. Butuzov, “Singularly perturbed two-dimensional parabolic problem in the case of intersecting roots of the reduced equation”, Zh. Vychisl. Mat. Mat. Fiz., 47:4 (2007),  646–654  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 47:4 (2007), 620–628  scopus
2006
25. V. F. Butuzov, E. A. Derkunova, “On a singularly perturbed system of first-order partial differential equations with various degrees of a small parameter”, Differ. Uravn., 42:6 (2006),  775–789  mathnet  mathscinet; Differ. Equ., 42:6 (2006), 826–841
26. V. F. Butuzov, “Existence and asymptotic stability of a stationary solution of a singularly perturbed system of parabolic equations in the case of intersecting roots of the degenerate equation”, Differ. Uravn., 42:2 (2006),  221–232  mathnet  mathscinet; Differ. Equ., 42:2 (2006), 237–248
27. V. F. Butuzov, “On the stability and domain of attraction of a stationary nonsmooth limit solution of a singularly perturbed parabolic equation”, Zh. Vychisl. Mat. Mat. Fiz., 46:3 (2006),  433–444  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 46:3 (2006), 413–424  scopus
2005
28. V. F. Butuzov, M. A. Terent'ev, “Singular Perturbation Elliptic Boundary-Value Problems in the Case of a Nonisolated Root of the Degenerate Equation”, Mat. Zametki, 78:1 (2005),  26–36  mathnet  mathscinet  zmath  elib; Math. Notes, 78:1 (2005), 23–32  isi  scopus
2004
29. V. F. Butuzov, I. V. Nedelko, “On the Formation of a Solution with an Internal Layer in a Parabolic System with Different Powers of a Small Parameter”, Differ. Uravn., 40:3 (2004),  356–367  mathnet  mathscinet; Differ. Equ., 40:3 (2004), 382–395
30. V. F. Butuzov, S. A. Kryazhimskii, I. V. Nedelko, “Global domain of attraction of a step-like contrast structure in a critical case”, Zh. Vychisl. Mat. Mat. Fiz., 44:8 (2004),  1410–1431  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 44:8 (2004), 1334–1355
31. V. F. Butuzov, S. A. Kryazhimskii, I. V. Nedelko, “On the global domain of influence of stable steplike contrast structures in the Dirichlet problem”, Zh. Vychisl. Mat. Mat. Fiz., 44:6 (2004),  1039–1061  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 44:6 (2004), 985–1006
2003
32. V. F. Butuzov, E. A. Gromova, “Singularly perturbed parabolic problem in the case of intersecting roots of the degenerate equation”, Trudy Inst. Mat. i Mekh. UrO RAN, 9:1 (2003),  38–44  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math. (Suppl.), 2003no. , suppl. 1, S37–S44
33. V. F. Butuzov, N. T. Levashova, “Asymptotic behavior of the solution of a singularly perturbed system of reaction-diffusion equations in a thin rod”, Zh. Vychisl. Mat. Mat. Fiz., 43:8 (2003),  1160–1182  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 43:8 (2003), 1109–1131
34. V. F. Butuzov, N. T. Levashova, “On a system of reaction-diffusion-transfer type in the case of small diffusion and fast reactions”, Zh. Vychisl. Mat. Mat. Fiz., 43:7 (2003),  1005–1017  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 43:7 (2003), 962–974
2002
35. V. F. Butuzov, I. V. Nedelko, “Instability of Multidimensional Contrast Structures”, Differ. Uravn., 38:2 (2002),  222–233  mathnet  mathscinet; Differ. Equ., 38:2 (2002), 235–248
36. V. F. Butuzov, V. V. Kiryushin, “The Stability of a Step-Like Contrast Structure in the Case of a Multiple Root of the Equation for the Transition Point”, Differ. Uravn., 38:1 (2002),  70–80  mathnet  mathscinet; Differ. Equ., 38:1 (2002), 75–86
37. V. F. Butuzov, I. V. Nedelko, “On the global domain of influence of stable solutions with interior layers in the two-dimensional case”, Izv. RAN. Ser. Mat., 66:1 (2002),  3–42  mathnet  mathscinet  zmath  elib; Izv. Math., 66:1 (2002), 1–40  scopus
38. V. F. Butuzov, M. A. Terent'ev, “System of singularly perturbed equations in the case of intersecting roots of a degenerate system”, Zh. Vychisl. Mat. Mat. Fiz., 42:11 (2002),  1686–1699  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 42:11 (2002), 1622–1635
39. V. F. Butuzov, N. N. Nefedov, K. R. Schneider, “On a singularly perturbed system of parabolic equations in the case of intersecting roots of the degenerate equation”, Zh. Vychisl. Mat. Mat. Fiz., 42:2 (2002),  185–196  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 42:2 (2002), 176–187
2001
40. V. F. Butuzov, V. V. Kiryushin, “A Two-Dimensional Step-Like Contrast Structure in the Case of a Multiple Root of the Transition Line Equation”, Differ. Uravn., 37:4 (2001),  495–510  mathnet  mathscinet; Differ. Equ., 37:4 (2001), 524–539
41. V. F. Butuzov, V. V. Kiryushin, “A Step-Like Contrast Structure for the Case of a Multiple Root of the Transition Point Equation (the Critical Case)”, Differ. Uravn., 37:2 (2001),  171–180  mathnet  mathscinet; Differ. Equ., 37:2 (2001), 185–194
42. V. F. Butuzov, I. V. Nedelko, “Step-type contrast structure in a system of two singularly perturbed parabolic equations”, Matem. Mod., 13:12 (2001),  23–42  mathnet  mathscinet  zmath
43. V. F. Butuzov, I. V. Nedelko, “Global influence domains of stable solutions with internal layers”, Mat. Sb., 192:5 (2001),  13–52  mathnet  mathscinet  zmath; Sb. Math., 192:5 (2001), 651–691  isi  scopus
44. V. F. Butuzov, E. A. Gromova, “Boundary value problem for a system of fast and slow second-order equations in the case of intersecting roots of the degenerate equation”, Zh. Vychisl. Mat. Mat. Fiz., 41:8 (2001),  1165–1179  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 41:8 (2001), 1108–1121
2000
45. V. F. Butuzov, I. V. Nedelko, “Asymptotic stability of solutions of singularly perturbed boundary value problems with boundary and internal layers”, Differ. Uravn., 36:2 (2000),  198–208  mathnet  mathscinet; Differ. Equ., 36:2 (2000), 224–235
46. V. F. Butuzov, A. F. Karashchuk, “Asymptotics of the solution of a system of equations in partial derivatives of the first order with a small parameter at some derivatives”, Fundam. Prikl. Mat., 6:3 (2000),  723–738  mathnet  mathscinet  zmath
47. V. F. Butuzov, I. V. Nedelko, “A steplike contrast structure in a singularly perturbed system of elliptic equations with different power of a small parameter”, Zh. Vychisl. Mat. Mat. Fiz., 40:6 (2000),  877–899  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 40:6 (2000), 837–859
48. V. F. Butuzov, E. A. Gromova, “A limit theorem for a Tikhonov system of equations”, Zh. Vychisl. Mat. Mat. Fiz., 40:5 (2000),  703–713  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 40:5 (2000), 669–679
1999
49. V. F. Butuzov, I. V. Nedelko, “On periodic contrast structures in singularly perturbed elliptic equations”, Fundam. Prikl. Mat., 5:2 (1999),  385–409  mathnet  mathscinet  zmath
50. V. F. Butuzov, I. V. Nedelko, “Existence, local uniqueness, and asymptotics of two-dimensional periodic steplike contrast structures”, Zh. Vychisl. Mat. Mat. Fiz., 39:5 (1999),  812–831  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 39:5 (1999), 779–798
1998
51. V. F. Butuzov, V. V. Kiryushin, “A step-type contrast structure in the case of a multiple root of the equation for a transition point”, Differ. Uravn., 34:8 (1998),  1029–1038  mathnet  mathscinet; Differ. Equ., 34:8 (1998), 1031–1041
52. V. F. Butuzov, N. N. Nefedov, “A singularly perturbed boundary value problem for a second-order equation in the case of variation of stability”, Mat. Zametki, 63:3 (1998),  354–362  mathnet  mathscinet  zmath; Math. Notes, 63:3 (1998), 311–318  isi
1997
53. V. F. Butuzov, A. B. Vasil'eva, N. N. Nefedov, “Asymptotic Theory of Contrasting Structures. A Survey”, Avtomat. i Telemekh., 1997, 7,  4–32  mathnet  mathscinet  zmath; Autom. Remote Control, 58:7 (1997), 1068–1091
54. V. F. Butuzov, “Spikelike contrast structures in the parabolic system of two singularly perturbed equations”, Zh. Vychisl. Mat. Mat. Fiz., 37:4 (1997),  415–428  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 37:4 (1997), 403–416
1996
55. V. F. Butuzov, E. A. Derkunova, “Asymptotic behavior of the solution of the heat equation with a nonlinear heat source in a thin rod”, Zh. Vychisl. Mat. Mat. Fiz., 36:6 (1996),  68–85  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 36:6 (1996), 743–757  isi
1995
56. V. F. Butuzov, T. A. Urazgil'dina, “Asymptotic expansion of the solution of a boundary value problem for the heat equation with a powerful nonlinear source in a thin rod”, Differ. Uravn., 31:3 (1995),  472–482  mathnet  mathscinet; Differ. Equ., 31:3 (1995), 435–445
57. V. F. Butuzov, N. T. Levashova, “On a singularly perturbed reaction-diffusion-transfer system in the case of slow diffusion and fast reactions”, Fundam. Prikl. Mat., 1:4 (1995),  907–922  mathnet  mathscinet  zmath
58. V. F. Butuzov, A. F. Karashchuk, “One singularly perturbed system of partial differential equations of the first order”, Mat. Zametki, 57:3 (1995),  338–349  mathnet  mathscinet  zmath; Math. Notes, 57:3 (1995), 240–247  isi
59. V. F. Butuzov, S. T. Esimova, “A singularly perturbed “reaction–diffusion–transfer” system which degenerates into a system with a finite equation and a first-order partial differential equation”, Zh. Vychisl. Mat. Mat. Fiz., 35:2 (1995),  223–240  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 35:2 (1995), 177–190  isi
1994
60. V. F. Butuzov, T. A. Urazgil'dina, “Asymptotics of the solution of non-stationary interface convection problem in thin layer of viscous liquid”, Matem. Mod., 6:5 (1994),  92–104  mathnet  mathscinet  zmath
61. V. F. Butuzov, S. T. Esimova, “A singulary perturbed “reaction–diffusion–transfer” system which degenerates into a system of two first-order differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 34:10 (1994),  1380–1400  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 34:10 (1994), 1197–1213  isi
1993
62. V. F. Butuzov, “Singularly perturbed systems of reaction-diffusion-transport type”, Differ. Uravn., 29:5 (1993),  833–845  mathnet  mathscinet; Differ. Equ., 29:5 (1993), 713–723
1992
63. V. F. Butuzov, L. V. Kalachev, “Asymptotical deduction of the ambipolar diffusion equation and boundary conditions in semiconductor physics”, Matem. Mod., 4:8 (1992),  66–74  mathnet  mathscinet
1991
64. V. F. Butuzov, V. Yu. Buchnev, “The asymptotic behaviour of the solution of a singularly perturbed two-dimensional problem of the reaction-diffusion-transport type”, Zh. Vychisl. Mat. Mat. Fiz., 31:4 (1991),  533–542  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 31:4 (1991), 37–44  isi
1990
65. V. F. Butuzov, A. G. Nikitin, “A singularly perturbed system of equations of elliptic type”, Differ. Uravn., 26:2 (1990),  271–278  mathnet  mathscinet; Differ. Equ., 26:2 (1990), 207–213
66. V. F. Butuzov, T. A. Urazgil'dina, “Asymptotic solution of Marangony convection problem in a thin layer of viscous liquid”, Matem. Mod., 2:8 (1990),  76–89  mathnet  mathscinet  zmath
1989
67. V. F. Butuzov, V. Yu. Buchnev, “Asymptotic approximation of the solution of a singularly perturbed parabolic two-dimensional problem with a nonsmooth limit solution”, Differ. Uravn., 25:12 (1989),  2128–2133  mathnet  mathscinet; Differ. Equ., 25:12 (1989), 1514–1518
68. V. F. Butuzov, V. Yu. Buchnev, “On the asymptotic behavior of the solution of a singularly perturbed parabolic problem in the two-dimensional case”, Differ. Uravn., 25:3 (1989),  453–461  mathnet  mathscinet; Differ. Equ., 25:3 (1989), 315–322
69. V. F. Butuzov, N. N. Nefedov, E. V. Polezhaeva, “The asymptotic solution of linearized problems on the natural and forced resonance oscillations of a medium of low viscosity”, Zh. Vychisl. Mat. Mat. Fiz., 29:7 (1989),  1023–1035  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 29:4 (1989), 41–49
1988
70. V. F. Butuzov, A. G. Nikitin, “An angular boundary layer in the asymptotics of the solution of a singularly perturbed system of equations of elliptic type”, Differ. Uravn., 24:2 (1988),  343–345  mathnet  mathscinet  zmath
71. V. F. Butuzov, L. V. Kalachev, “Asymptotic behaviour of the solution of the problem of combustion in the case of an autocatalytic reaction”, Zh. Vychisl. Mat. Mat. Fiz., 28:5 (1988),  683–694  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 28:3 (1988), 39–47
72. V. F. Butuzov, A. B. Vasil'eva, “The asymptotic theory of contrasting spatial structures”, Zh. Vychisl. Mat. Mat. Fiz., 28:3 (1988),  346–361  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 28:2 (1988), 26–36
1987
73. V. F. Butuzov, A. B. Vasil'eva, “Asymptotic of a solution of contrast-structure type”, Mat. Zametki, 42:6 (1987),  831–841  mathnet  mathscinet  zmath; Math. Notes, 42:6 (1987), 956–961  isi
74. V. F. Butuzov, V. M. Mamonov, “On a singularly perturbed quasilinear parabolic problem with unsmooth corner boundary functions”, Zh. Vychisl. Mat. Mat. Fiz., 27:7 (1987),  1012–1021  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 27:4 (1987), 33–39
75. V. F. Butuzov, V. M. Mamonov, “A smoothing procedure in a singularly perturbed quasilinear parabolic problem”, Zh. Vychisl. Mat. Mat. Fiz., 27:3 (1987),  391–399  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 27:2 (1987), 45–51
76. V. F. Butuzov, N. N. Nefedov, E. V. Fedotova, “Asymptotic solution of the linearized problem of the propagation of sound in a bounded medium with low viscosity”, Zh. Vychisl. Mat. Mat. Fiz., 27:2 (1987),  226–236  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 27:1 (1987), 146–153
1986
77. V. F. Butuzov, A. V. Nesterov, “Some singularly perturbed problems of hyperbolic type with transition layers”, Differ. Uravn., 22:10 (1986),  1739–1744  mathnet  mathscinet
78. V. F. Butuzov, T. A. Urazgil'dina, “A singularly perturbed system of equations of elliptic type in the critical case”, Differ. Uravn., 22:9 (1986),  1565–1576  mathnet  mathscinet
79. V. F. Butuzov, L. V. Kalachev, “Asymptotic approximation of solution of boundary-value problem for singularly disturbed parabolic equation in the critical case”, Mat. Zametki, 39:6 (1986),  819–830  mathnet  mathscinet  zmath; Math. Notes, 39:6 (1986), 445–451  isi
1985
80. V. F. Butuzov, A. V. Nesterov, “A singularly perturbed boundary value problem of elliptic type with nonsmooth angular boundary layer functions”, Differ. Uravn., 21:10 (1985),  1751–1755  mathnet  mathscinet
81. A. B. Vasil'eva, V. F. Butuzov, “The method of boundary layer functions”, Differ. Uravn., 21:10 (1985),  1662–1669  mathnet  mathscinet
1984
82. V. F. Butuzov, A. G. Nikitin, “Singularly disturbed elliptic boundary value problem in a rectangle in the critical case”, Zh. Vychisl. Mat. Mat. Fiz., 24:9 (1984),  1320–1330  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 24:5 (1984), 25–31
1982
83. V. F. Butuzov, A. V. Nesterov, “On some singularly perturbed problems with nonsmooth boundary functions”, Dokl. Akad. Nauk SSSR, 263:4 (1982),  786–789  mathnet  mathscinet  zmath
84. V. F. Butuzov, V. M. Mamonov, “A singularly perturbed boundary value problem of elliptic type in the critical case”, Differ. Uravn., 18:6 (1982),  1056–1061  mathnet  mathscinet
85. V. F. Butuzov, A. V. Nesterov, “The asymptotics of the solution of an equation of parabolic type with small parameters multiplying the highest derivatives”, Zh. Vychisl. Mat. Mat. Fiz., 22:4 (1982),  865–870  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 22:4 (1982), 100–105
1981
86. V. F. Butuzov, A. G. Nikitin, “On a system of singularly perturbed equations of elliptic type”, Differ. Uravn., 17:10 (1981),  1779–1791  mathnet  mathscinet  zmath
87. V. F. Butuzov, Yu. P. Udodov, “Asymptotic solution of a system of singularly perturbed equations of elliptic type with angular boundary layer”, Zh. Vychisl. Mat. Mat. Fiz., 21:3 (1981),  665–677  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 21:3 (1981), 134–147
1979
88. V. F. Butuzov, “An angular boundary layer in singularly perturbed problems with partial derivatives”, Differ. Uravn., 15:10 (1979),  1848–1862  mathnet  mathscinet  zmath
1978
89. V. F. Butuzov, “The asymptotics of solutions of some model problems in chemical kinetics, taking diffusion into account”, Dokl. Akad. Nauk SSSR, 242:2 (1978),  268–271  mathnet  mathscinet  zmath
1977
90. V. F. Butuzov, “Angular boundary layer in singularly perturbed mixed problems for the second-order hyperbolic equations”, Dokl. Akad. Nauk SSSR, 235:5 (1977),  997–1000  mathnet  mathscinet  zmath
91. V. F. Butuzov, “The construction of boundary functions in certain singularly perturbed problems of elliptic type”, Differ. Uravn., 13:10 (1977),  1829–1835  mathnet  mathscinet  zmath
92. V. F. Butuzov, “The angular boundary layer in mixed singularly perturbed problems for hyperbolic equations”, Mat. Sb. (N.S.), 104(146):3(11) (1977),  460–485  mathnet  mathscinet  zmath; Math. USSR-Sb., 33:3 (1977), 403–425  isi
1976
93. V. F. Butuzov, “A singularly perturbed equation of elliptic type with two small parameters”, Differ. Uravn., 12:10 (1976),  1793–1803  mathnet  mathscinet  zmath
94. V. F. Butuzov, N. N. Nefedov, “A problem in the theory of singular perturbations”, Differ. Uravn., 12:10 (1976),  1736–1747  mathnet  mathscinet  zmath
1975
95. V. F. Butuzov, “The asymptotic behavior of the solutions of singularly perturbed equations of elliptic type in a rectangular domain”, Differ. Uravn., 11:6 (1975),  1030–1041  mathnet  mathscinet  zmath
1973
96. V. F. Butuzov, “Asymptotic behavior of the solution of the equation $\mu^2\Delta u-k^2(x,y)u=f(x,y)$ in a rectangular domain”, Differ. Uravn., 9:9 (1973),  1654–1660  mathnet  mathscinet  zmath
1972
97. V. F. Butuzov, “Asymptotic properties of the solution of a finite-difference equation with small steps in a rectangular region”, Zh. Vychisl. Mat. Mat. Fiz., 12:3 (1972),  582–597  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 12:3 (1972), 14–34
1971
98. V. F. Butuzov, “A certain integro-differential equation with a small parameter multiplying the derivative in the case when the degenerate equation occurs in the spectrum”, Differ. Uravn., 7:5 (1971),  919–922  mathnet  mathscinet  zmath
1970
99. V. F. Butuzov, A. B. Vasil'eva, “Differential and difference systems of equations with a small parameter in the case when the unperturbed (degenerate) system is situated on the spectrum”, Differ. Uravn., 6:4 (1970),  650–664  mathnet  mathscinet  zmath
1969
100. V. F. Butuzov, A. B. Vasil'eva, M. V. Fedoryuk, “Asymptotic methods in the theory of ordinary differential equations”, Itogi Nauki. Ser. Matematika. Mat. Anal. 1967, 1969,  5–73  mathnet  mathscinet  zmath; Progr. Math., 8 (1970), 1–82
1968
101. V. F. Butuzov, “Asymptotics of the solution of a certain problem for a nonlinear integro-differential equation with a small parameter at the derivative”, Differ. Uravn., 4:3 (1968),  491–507  mathnet  mathscinet  zmath
1966
102. V. F. Butuzov, “On the question of the asymptotics of solutions to integro-differential equations with a small parameter in front of the derivative”, Differ. Uravn., 2:3 (1966),  391–406  mathnet  mathscinet
1965
103. A. B. Vasil'eva, V. F. Butuzov, “Certain problems on eigenvalues for integro-differential equations with a small parameter coefficient for the higher derivative”, Differ. Uravn., 1:9 (1965),  1190–1203  mathnet  mathscinet
1964
104. A. B. Vasil'eva, V. F. Butuzov, “Asymptotic behaviour of the solution of an integro-differential equation with a small parameter multiplying the derivative”, Zh. Vychisl. Mat. Mat. Fiz., 4:supplement to № 4 (1964),  183–191  mathnet  mathscinet  zmath

2017
105. V. F. Butuzov, S. D. Glyzin, N. N. Nefedov, “From the editors of the special issue”, Model. Anal. Inform. Sist., 24:3 (2017),  257  mathnet  elib
2015
106. V. F. Butuzov, A. A. Bykov, A. L. Delitsyn, M. K. Kerimov, I. E. Mogilevskii, Yu. V. Mukhartova, N. N. Nefedov, A. G. Sveshnikov, D. D. Sokoloff, N. A. Tikhonov, N. E. Shapkina, A. G. Yagola, “On the 70th anniversary of birthday of Professor Aleksandr Nikolaevich Bogolyubov”, Zh. Vychisl. Mat. Mat. Fiz., 55:10 (2015),  1635–1636  mathnet  elib
2005
107. N. S. Bakhvalov, A. N. Bogolyubov, V. F. Butuzov, V. V. Voevodin, V. A. Il'in, A. S. Il'inskii, D. P. Kostomarov, E. I. Moiseev, A. A. Samarskii, “Aleksei Georgievich Sveshnikov (on his 80th birthday)”, Uspekhi Mat. Nauk, 60:2(362) (2005),  187–190  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 60:2 (2005), 389–393  isi
108. N. S. Bakhvalov, A. N. Bogolyubov, V. F. Butuzov, V. V. Voevodin, V. A. Il'in, A. S. Il'inskii, D. P. Kostomarov, E. I. Moiseev, A. A. Samarskii, “Aleksei Georgievich Sveshnikov (on the occasion of his eightieth birthday)”, Zh. Vychisl. Mat. Mat. Fiz., 45:3 (2005),  371–373  mathnet  mathscinet; Comput. Math. Math. Phys., 45:3 (2005), 353–355
1998
109. A. B. Vasil'eva, V. F. Butuzov, N. N. Nefedov, “Contrast structures in singularly perturbed problems”, Fundam. Prikl. Mat., 4:3 (1998),  799–851  mathnet  mathscinet  zmath
1996
110. A. B. Vasil'eva, V. F. Butuzov, “Конференция “Теория и приложения методов малого параметра”, посвященная 90-летию со дня рождения академика А. Н. Тихонова (Обнинск, 2–6 июля 1998 г.)”, Differ. Uravn., 32:10 (1996),  1436  mathnet
111. O. A. Oleinik, A. A. Samarskii, V. I. Il'in, A. G. Sveshnikov, V. F. Butuzov, “Adelaida Borisovna Vasil'eva (on her seventieth birthday)”, Uspekhi Mat. Nauk, 51:4(310) (1996),  177–178  mathnet  mathscinet; Russian Math. Surveys, 51:4 (1996), 761–763  isi
1995
112. A. N. Bogolyubov, V. F. Butuzov, A. B. Vasil'eva, V. A. Il'in, O. A. Oleinik, A. A. Samarskii, “Aleksei Georgievich Sveshnikov (on his seventieth birthday)”, Uspekhi Mat. Nauk, 50:1(301) (1995),  219–220  mathnet  mathscinet; Russian Math. Surveys, 50:1 (1995), 231–233  isi
1994
113. O. V. Anashkin, V. F. Butuzov, V. A. Il'in, E. I. Moiseev, O. P. Filatov, “Mikhail Mikhaǐlovich Khapaev (on the occasion of his sixtieth birthday)”, Differ. Uravn., 30:10 (1994),  1830–1835  mathnet  mathscinet; Differ. Equ., 30:10 (1994), 1696–1702
1993
114. V. F. Butuzov, V. A. Il'in, A. G. Popov, A. A. Samarskii, A. G. Sveshnikov, A. N. Tikhonov, “Èduard Genrikhovich Poznyak (on the occasion of his seventieth birthday)”, Differ. Uravn., 29:12 (1993),  2032–2033  mathnet  mathscinet; Differ. Equ., 29:12 (1993), 1769–1770
115. A. N. Tikhonov, A. A. Samarskii, O. A. Oleinik, V. A. Il'in, A. G. Sveshnikov, V. F. Butuzov, E. V. Shikin, S. B. Kadomtsev, “Eduard Genrikhovich Poznyak (on his seventieth birthday)”, Uspekhi Mat. Nauk, 48:4(292) (1993),  245–247  mathnet  mathscinet; Russian Math. Surveys, 48:4 (1993), 267–269  isi
1986
116. V. F. Butuzov, O. A. Oleinik, A. G. Sveshnikov, A. N. Tikhonov, “Adelaida Borisovna Vasil'eva (on her sixtieth birthday)”, Uspekhi Mat. Nauk, 41:5(251) (1986),  205–206  mathnet  mathscinet; Russian Math. Surveys, 41:5 (1986), 171–173  isi
1980
117. V. F. Butuzov, “The Second All-Union conference on asymptotic methods in the theory of singularly perturbed equations”, Uspekhi Mat. Nauk, 35:1(211) (1980),  240–241  mathnet

Presentations in Math-Net.Ru
1. Singularly perturbed problems with boundary and internal layers
A. B. Vasil'eva, V. F. Butuzov, N. N. Nefedov
International Conference "Differential Equations and Topology" dedicated to the Centennial Anniversary of L. S. Pontryagin
June 22, 2008 10:00   

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