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Publications in Math-Net.Ru |
Citations |
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2004 |
1. |
S. P. Kurdyumov, G. G. Malinetskii, A. V. Podlazov, “Historical dynamics. Synergetics approach”, Keldysh Institute preprints, 2004, 085, 16 pp. |
2. |
S. P. Kurdyumov, E. S. Kurkina, “The spectrum of the eigenfunctions of a self-similar problem for the nonlinear heat equation with a source”, Zh. Vychisl. Mat. Mat. Fiz., 44:9 (2004), 1619–1637 ; Comput. Math. Math. Phys., 44:9 (2004), 1539–1556 |
4
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2000 |
3. |
V. A. Belavin, S. P. Kurdyumov, “Blow-up regimes in a demographic system: Scenario of increase in the nonlinearity”, Zh. Vychisl. Mat. Mat. Fiz., 40:2 (2000), 238–251 ; Comput. Math. Math. Phys., 40:2 (2000), 227–239 |
6
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1998 |
4. |
V. A. Belavin, S. P. Kapitza, S. P. Kurdyumov, “A mathematical model of global demographic processes with regard to the spatial distribution”, Zh. Vychisl. Mat. Mat. Fiz., 38:6 (1998), 885–902 ; Comput. Math. Math. Phys., 38:6 (1998), 849–865 |
17
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1996 |
5. |
V. A. Belavin, S. P. Kurdyumov, “Mathematical Model of Global Demographic Processes”, Keldysh Institute preprints, 1996, 097 |
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1995 |
6. |
S. P. Kurdyumov, M. I. Gurevich, O. V. Telkovskaya, “Self-similar solutions of the quasilinear heat equation with distributed density and nonlinear volume sources”, Differ. Uravn., 31:10 (1995), 1722–1733 ; Differ. Equ., 31:10 (1995), 1690–1701 |
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1991 |
7. |
S. P. Kurdyumov, O. V. Telkovskaya, “Structure of linear approximation for eigenfunctions of LS-regme in multicomponent media”, Matem. Mod., 3:10 (1991), 23–30 |
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1990 |
8. |
S. P. Kurdyumov, G. G. Malinetskii, A. B. Potapov, “An approximate study of symmetric localized structures”, Dokl. Akad. Nauk SSSR, 314:2 (1990), 327–331 ; Dokl. Math., 35:9 (1990), 796–799 |
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1989 |
9. |
S. P. Kurdyumov, E. S. Kurkina, O. V. Telkovskaya, “Regimes with sharpening in two-component media”, Matem. Mod., 1:1 (1989), 34–50 |
2
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10. |
V. A. Galaktionov, S. P. Kurdyumov, A. A. Samarskii, “On the method of stationary states for quasilinear parabolic equations”, Mat. Sb., 180:8 (1989), 995–1016 ; Math. USSR-Sb., 67:2 (1990), 449–471 |
7
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11. |
S. N. Dimova, M. S. Kaschiev, S. P. Kurdyumov, “Numerical analysis of the eigenfunctions for the combustion of a nonlinear medium in the radial-symmetric case”, Zh. Vychisl. Mat. Mat. Fiz., 29:11 (1989), 1688–1704 ; U.S.S.R. Comput. Math. Math. Phys., 29:6 (1989), 61–73 |
8
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1988 |
12. |
F. V. Bunkin, N. A. Kirichenko, S. P. Kurdyumov, A. B. Potapov, A. A. Samarskii, “Thermodiffusion oscillations in gas mixtures in a laser radiation field”, Dokl. Akad. Nauk SSSR, 303:6 (1988), 1357–1360 |
13. |
F. V. Bunkin, V. A. Galaktionov, N. A. Kirichenko, S. P. Kurdyumov, A. A. Samarskii, “Localization in a nonlinear problem of radiation-induced ignition”, Dokl. Akad. Nauk SSSR, 302:1 (1988), 68–71 ; Dokl. Math., 33:9 (1988), 661–663 |
14. |
V. A. Galaktionov, S. P. Kurdyumov, A. A. Samarskii, “The structure of limit distributions of unbounded solutions of
quasilinear parabolic equations”, Dokl. Akad. Nauk SSSR, 301:4 (1988), 781–785 ; Dokl. Math., 38:1 (1989), 138–142 |
15. |
M. I. Bakirova, S. N. Dimova, V. A. Dorodnitsyn, S. P. Kurdyumov, A. A. Samarskii, S. R. Svirshchevskii, “Invariant solutions of the heat equation that describe the
directed propagation of combustion and spiral waves in a nonlinear
medium”, Dokl. Akad. Nauk SSSR, 299:2 (1988), 346–350 ; Dokl. Math., 33:3 (1988), 187–189 |
16. |
F. V. Bunkin, V. A. Galaktionov, N. A. Kirichenko, S. P. Kurdyumov, A. A. Samarskii, “A nonlinear boundary value problem of ignition by radiation”, Zh. Vychisl. Mat. Mat. Fiz., 28:4 (1988), 549–559 ; U.S.S.R. Comput. Math. Math. Phys., 28:2 (1988), 157–164 |
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1986 |
17. |
S. P. Kurdyumov, S. A. Posashkov, A. A. Samarskii, A. V. Sinilo, “Unsteady heat structures in a nonlinear medium with heat sinks”, Dokl. Akad. Nauk SSSR, 290:3 (1986), 595–599 |
18. |
T. S. Akhromeeva, S. P. Kurdyumov, G. G. Malinetskii, A. A. Samarskii, “On the classification of the solutions of a system of nonlinear diffusion equations in a neighborhood of a bifurcation point”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 28 (1986), 207–313 ; J. Soviet Math., 41:5 (1988), 1292–1356 |
11
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19. |
V. A. Galaktionov, V. A. Dorodnitsyn, G. G. Yelenin, S. P. Kurdyumov, A. A. Samarskii, “A quasilinear equation of heat conduction with a source: peaking, localization, symmetry, exact solutions, asymptotic behavior, structures”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 28 (1986), 95–205 ; J. Soviet Math., 41:5 (1988), 1222–1292 |
89
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20. |
N. V. Zmitrenko, S. P. Kurdyumov, A. P. Mikhailov, “The theory of modes with peaking in compressible media”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 28 (1986), 3–94 ; J. Soviet Math., 41:5 (1988), 1163–1222 |
9
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21. |
S. P. Kurdyumov, E. S. Kurkina, A. B. Potapov, A. A. Samarskii, “Complex multidimensional structures of the combustion of a nonlinear medium”, Zh. Vychisl. Mat. Mat. Fiz., 26:8 (1986), 1189–1205 ; U.S.S.R. Comput. Math. Math. Phys., 26:4 (1986), 148–158 |
4
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22. |
V. A. Galaktionov, S. P. Kurdyumov, S. A. Posashkov, A. A. Samarskii, “A nonlinear elliptic problem with a complex spectrum of solutions”, Zh. Vychisl. Mat. Mat. Fiz., 26:3 (1986), 398–407 ; U.S.S.R. Comput. Math. Math. Phys., 26:2 (1986), 48–54 |
8
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1985 |
23. |
T. S. Akhromeeva, F. V. Bunkin, N. A. Kirichenko, S. P. Kurdyumov, G. G. Malinetskii, A. A. Samarskii, “Some properties of a mathematical model for laser heating of metals in the air”, Dokl. Akad. Nauk SSSR, 281:1 (1985), 55–59 |
24. |
V. A. Galaktionov, S. P. Kurdyumov, A. A. Samarskii, “Asymptotic stability of self-similar solutions of an equation of heat conduction with a nonlinear sink”, Dokl. Akad. Nauk SSSR, 281:1 (1985), 23–28 |
25. |
F. V. Bunkin, V. A. Galaktionov, N. A. Kirichenko, S. P. Kurdyumov, A. A. Samarskii, “A nonlinear problem of laser thermochemistry. II”, Differ. Uravn., 21:12 (1985), 2097–2105 |
26. |
F. V. Bunkin, V. A. Galaktionov, N. A. Kirichenko, S. P. Kurdyumov, A. A. Samarskii, “A nonlinear problem of laser thermochemistry. I”, Differ. Uravn., 21:11 (1985), 1947–1958 |
27. |
V. A. Galaktionov, S. P. Kurdyumov, A. A. Samarskii, “A parabolic system of quasilinear equations. II”, Differ. Uravn., 21:9 (1985), 1544–1559 |
1
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28. |
V. A. Galaktionov, S. P. Kurdyumov, A. A. Samarskii, “On asymptotic “eigenfunctions” of the Cauchy problem for a nonlinear parabolic equation”, Mat. Sb. (N.S.), 126(168):4 (1985), 435–472 ; Math. USSR-Sb., 54:2 (1986), 421–455 |
81
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29. |
V. A. Galaktionov, S. P. Kurdyumov, A. A. Samarskii, “A new class of asymptotic “eigenfunctions” of the Cauchy problem for a nonlinear parabolic equation”, Zh. Vychisl. Mat. Mat. Fiz., 25:12 (1985), 1833–1839 ; U.S.S.R. Comput. Math. Math. Phys., 25:6 (1985), 151–155 |
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1984 |
30. |
T. S. Akhromeeva, S. P. Kurdyumov, G. G. Malinetskii, A. A. Samarskii, “Diffusion-induced chaos in nonlinear dissipative systems”, Dokl. Akad. Nauk SSSR, 279:5 (1984), 1091–1096 |
31. |
F. V. Bunkin, V. A. Galaktionov, N. A. Kirichenko, S. P. Kurdyumov, A. A. Samarskii, “A nonlinear problem of laser thermochemistry”, Dokl. Akad. Nauk SSSR, 279:4 (1984), 838–842 |
32. |
T. S. Akhromeeva, S. P. Kurdyumov, G. G. Malinetskii, A. A. Samarskii, “Classification of two-component systems in a neighborhood of a bifurcation point”, Dokl. Akad. Nauk SSSR, 279:3 (1984), 591–595 |
33. |
V. A. Galaktionov, S. P. Kurdyumov, A. A. Samarskii, “On the method of stationary states for nonlinear evolution parabolic problems”, Dokl. Akad. Nauk SSSR, 278:6 (1984), 1296–1300 |
34. |
S. P. Kurdyumov, E. S. Kurkina, A. B. Potapov, A. A. Samarskii, “The architecture of multidimensional heat structures”, Dokl. Akad. Nauk SSSR, 274:5 (1984), 1071–1075 |
2
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35. |
V. A. Galaktionov, S. P. Kurdyumov, A. A. Samarskii, “Asymptotic stability of invariant solutions of nonlinear equations of heat conduction with a source”, Differ. Uravn., 20:4 (1984), 614–632 |
2
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36. |
V. A. Galaktionov, S. P. Kurdyumov, A. A. Samarskii, “On approximate self-similar solutions of a class of quasilinear heat equations with a source”, Mat. Sb. (N.S.), 124(166):2(6) (1984), 163–188 ; Math. USSR-Sb., 52:1 (1985), 155–180 |
15
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1983 |
37. |
V. A. Galaktionov, S. P. Kurdyumov, A. A. Samarskii, “A parabolic system of quasilinear equations. I”, Differ. Uravn., 19:12 (1983), 2123–2140 |
2
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38. |
G. G. Yelenin, S. P. Kurdyumov, A. A. Samarskii, “Nonstationary dissipative structures in a nonlinear heat-conducting medium”, Zh. Vychisl. Mat. Mat. Fiz., 23:2 (1983), 380–390 ; U.S.S.R. Comput. Math. Math. Phys., 23:2 (1983), 80–86 |
12
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1981 |
39. |
S. P. Kurdyumov, E. S. Kurkina, G. G. Malinetskii, A. A. Samarskii, “Nonsteady dissipative structures in nonlinear two-component media with three-dimensional sources”, Dokl. Akad. Nauk SSSR, 258:5 (1981), 1084–1088 |
2
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40. |
S. P. Kurdyumov, G. G. Malinetskii, Yu. A. Poveschenko, Yu. P. Popov, A. A. Samarskii, “Dissipative structures in trigger media”, Differ. Uravn., 17:10 (1981), 1875–1885 |
1
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41. |
V. A. Galaktionov, S. P. Kurdyumov, A. P. Mikhailov, A. A. Samarskii, “Localization of heat in nonlinear media”, Differ. Uravn., 17:10 (1981), 1826–1841 |
9
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1980 |
42. |
V. A. Galaktionov, S. P. Kurdyumov, A. P. Mikhailov, A. A. Samarskii, “Unbounded solutions of the Cauchy problem for the parabolic equation $u_t=\nabla(u^\sigma\nabla u)+u^\beta$”, Dokl. Akad. Nauk SSSR, 252:6 (1980), 1362–1364 |
8
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43. |
S. P. Kurdyumov, G. G. Malinetskii, Yu. A. Poveschenko, Yu. P. Popov, A. A. Samarskii, “Interaction of dissipative heat structures in nonlinear media”, Dokl. Akad. Nauk SSSR, 251:4 (1980), 836–839 |
3
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44. |
S. P. Kurdyumov, E. S. Kurkina, G. G. Malinetskii, A. A. Samarskii, “Dissipative structures in an inhomogeneous nonlinear burning medium”, Dokl. Akad. Nauk SSSR, 251:3 (1980), 587–591 |
1
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45. |
V. A. Galaktionov, S. P. Kurdyumov, A. P. Mikhailov, A. A. Samarskii, “Asymptotic phase of modes with peaking and effective localization of heat in problems of nonlinear heat conduction”, Differ. Uravn., 16:7 (1980), 1196–1204 |
2
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1979 |
46. |
V. A. Galaktionov, S. P. Kurdyumov, A. P. Mikhailov, A. A. Samarskii, “Comparison of solutions to parabolic equations”, Dokl. Akad. Nauk SSSR, 248:3 (1979), 586–589 |
1
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47. |
A. A. Samarskii, V. A. Galaktionov, S. P. Kurdyumov, A. P. Mikhailov, “Localization of diffusion processes in media with constant properties”, Dokl. Akad. Nauk SSSR, 247:2 (1979), 349–353 |
5
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48. |
A. A. Samarskii, A. P. Mikhailov, S. P. Kurdyumov, V. A. Galaktionov, “An approach to the comparison of solutions of parabolic equations”, Zh. Vychisl. Mat. Mat. Fiz., 19:6 (1979), 1451–1461 ; U.S.S.R. Comput. Math. Math. Phys., 19:6 (1979), 91–102 |
5
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1977 |
49. |
A. A. Samarskii, G. G. Yelenin, N. V. Zmitrenko, S. P. Kurdyumov, A. P. Mikhailov, “Combustion of a nonlinear medium in the form of complex structures”, Dokl. Akad. Nauk SSSR, 237:6 (1977), 1330–1333 |
6
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50. |
N. V. Zmitrenko, S. P. Kurdyumov, “$N$- and $S$-modes of self-similar compression of a finite mass of plasma and properties of the modes with peaking”, Prikl. Mekh. Tekh. Fiz., 18:1 (1977), 3–23 ; J. Appl. Mech. Tech. Phys., 18:1 (1977), 1–18 |
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1976 |
51. |
A. A. Samarskii, N. V. Zmitrenko, S. P. Kurdyumov, A. P. Mikhailov, “Thermal structures and fundamental length in a medium with nonlinear heat conduction and volume heat sources”, Dokl. Akad. Nauk SSSR, 227:2 (1976), 321–324 |
7
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1975 |
52. |
A. A. Samarskii, N. V. Zmitrenko, S. P. Kurdyumov, A. P. Mikhailov, “Effect of the met as table localization of heat in a medium with nonlinear heat conduction”, Dokl. Akad. Nauk SSSR, 223:6 (1975), 1344–1347 |
8
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53. |
Yu. V. Afanas'ev, N. G. Basov, P. P. Volosevich, E. G. Gamaliĭ, O. N. Krokhin, S. P. Kurdyumov, E. I. Levanov, V. B. Rozanov, A. A. Samarskii, A. N. Tikhonov, “Analysis of physical processes in targets heated by laser radiation of 200–300 J energy”, Kvantovaya Elektronika, 2:8 (1975), 1816–1818 [Sov J Quantum Electron, 5:8 (1975), 989–991] |
1
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1974 |
54. |
N. V. Zmitrenko, S. P. Kurdyumov, “Rise of structures the self-preservation mode of plasma contraction”, Dokl. Akad. Nauk SSSR, 219:3 (1974), 578–581 |
55. |
N. V. Zmitrenko, S. P. Kurdyumov, “Self-preserving mode of plasma finite mass compression”, Dokl. Akad. Nauk SSSR, 218:6 (1974), 1306–1309 |
1
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56. |
A. A. Samarskii, V. A. Dorodnitsyn, S. P. Kurdyumov, Yu. P. Popov, “Formation of $T$-layers in the process of plasma deceleration by a magnetic field”, Dokl. Akad. Nauk SSSR, 216:6 (1974), 1254–1257 |
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1972 |
57. |
A. A. Samarskii, S. P. Kurdyumov, Yu. N. Kulikov, L. V. Leskov, Yu. P. Popov, V. V. Savichev, S. S. Filippov, “Magnetohydrodynamic model of unsteady acceleration of plasma”, Dokl. Akad. Nauk SSSR, 206:2 (1972), 307–310 |
2
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1970 |
58. |
P. P. Volosevich, S. P. Kurdyumov, Yu. P. Popov, A. A. Samarskii, “The self-modelling problem of a heavy current discharge in a plasma”, Zh. Vychisl. Mat. Mat. Fiz., 10:6 (1970), 1447–1457 ; U.S.S.R. Comput. Math. Math. Phys., 10:6 (1970), 130–143 |
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1969 |
59. |
L. M. Degtyarev, L. A. Zaklyaz'minskii, S. P. Kurdyumov, A. A. Samarskii, V. S. Sokolov, A. P. Favorski, “Развитие конечных локальных возмущений электропроводности в потоке слабопроводящего газа в присутствии магнитного поля”, TVT, 7:3 (1969), 471–478 |
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1968 |
60. |
A. A. Samarskii, P. P. Volosevich, M. I. Volchinskaya, S. P. Kurdyumov, “A finite-difference method for the solution of one-dimensional non-stationary problems in magneto-hydrodynamics”, Zh. Vychisl. Mat. Mat. Fiz., 8:5 (1968), 1025–1038 ; U.S.S.R. Comput. Math. Math. Phys., 8:5 (1968), 117–134 |
11
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1967 |
61. |
A. N. Tikhonov, A. A. Samarskii, L. A. Zaklyaz'minskii, P. P. Volosevich, L. M. Degtyarev, S. P. Kurdyumov, Yu. P. Popov, V. S. Sokolov, A. P. Favorski, “Non-linear effect of formation in self sustained high temperature electrically conducting gas layer in non-stationary processes of magnetic hydrodynamics”, Dokl. Akad. Nauk SSSR, 173:4 (1967), 808–811 |
3
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1965 |
62. |
A. A. Samarskii, S. P. Kurdyumov, P. P. Volosevich, “Travelling waves in a medium with non-linear heat conduction”, Zh. Vychisl. Mat. Mat. Fiz., 5:2 (1965), 199–217 ; U.S.S.R. Comput. Math. Math. Phys., 5:2 (1965), 40–67 |
4
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1963 |
63. |
P. P. Volosevich, S. P. Kurdyumov, L. N. Busurina, V. P. Krus, “The solution of the homogeneous plane problem of the motion of a piston in an ideal heat-conducting gas”, Zh. Vychisl. Mat. Mat. Fiz., 3:1 (1963), 159–169 ; U.S.S.R. Comput. Math. Math. Phys., 3:1 (1963), 204–218 |
11
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2002 |
64. |
V. N. Abrashin, I. V. Gaishun, N. A. Izobov, V. A. Il'in, S. P. Kurdyumov, E. I. Moiseev, Yu. P. Popov, A. A. Samarskii, A. P. Favorski, “A. V. Gulin (A tribute on the occasion of his 60th birthday)”, Differ. Uravn., 38:7 (2002), 870–874 ; Differ. Equ., 38:7 (2002), 920–924 |
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2001 |
65. |
V. N. Abrashin, I. V. Gaishun, M. P. Galanin, A. V. Gulin, S. V. Emel'yanov, V. A. Il'in, D. P. Kostomarov, S. P. Kurdyumov, O. S. Mazhorova, E. I. Moiseev, S. I. Mukhin, A. A. Petrov, V. A. Sadovnichii, A. A. Samarskii, B. N. Chetverushkin, “Yurii Petrovich Popov (A Tribute in Honor of His Sixtieth Birthday)”, Differ. Uravn., 37:5 (2001), 579–585 ; Differ. Equ., 37:5 (2001), 607–613 |
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1999 |
66. |
V. N. Abrashin, A. A. Arsen'ev, I. V. Gaishun, A. V. Gulin, S. V. Emel'yanov, V. A. Il'in, D. P. Kostomarov, S. P. Kurdyumov, Yu. S. Osipov, Yu. P. Popov, V. A. Sadovnichii, “Aleksandr Andreevich Samarskiǐ (on the occasion of his eightieth birthday)”, Differ. Uravn., 35:2 (1999), 147–151 ; Differ. Equ., 35:2 (1999), 145–150 |
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1995 |
67. |
O. V. Besov, V. A. Il'in, L. D. Kudryavtsev, S. P. Kurdyumov, S. M. Nikol'skii, L. V. Ovsyannikov, V. A. Sadovnichy, “Stanislav Ivanovich Pokhozhaev (on the occasion of his sixtieth birthday)”, Differ. Uravn., 31:9 (1995), 1443–1448 ; Differ. Equ., 31:9 (1995), 1393–1400 |
1
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1994 |
68. |
A. A. Arsen'ev, A. V. Bitsadze, A. A. Dorodnitsyn, S. V. Emel'yanov, V. A. Il'in, S. P. Kurdyumov, Yu. S. Osipov, “Aleksandr Andreevich Samarskiǐ (on the occasion of his seventy-fifth birthday)”, Differ. Uravn., 30:7 (1994), 1107–1110 ; Differ. Equ., 30:7 (1994), 1027–1029 |
69. |
V. Ya. Gol'din, N. N. Kalitkin, S. P. Kurdyumov, V. F. Tishkin, B. N. Chetverushkin, “The 75th anniversary of Aleksandr Andreevich Samarskij”, Matem. Mod., 6:6 (1994), 139–142 |
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1993 |
70. |
V. I. Arnol'd, N. S. Bakhvalov, K. V. Brushlinskii, I. M. Gel'fand, R. L. Dobrushin, A. V. Zabrodin, I. A. Ibragimov, S. P. Kurdyumov, S. P. Novikov, D. E. Okhotsimskii, Yu. V. Prokhorov, Yu. B. Radvogin, Ya. G. Sinai, R. Z. Khas'minskii, A. S. Holevo, A. N. Shiryaev, T. M. Eneev, “Nikolai Nikolaevich Chentsov (obituary)”, Uspekhi Mat. Nauk, 48:2(290) (1993), 165–168 ; Russian Math. Surveys, 48:2 (1993), 161–166 |
2
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1991 |
71. |
K. V. Brushlinskii, M. B. Gavrilov, I. M. Gel'fand, V. F. Dyachenko, A. V. Zabrodin, N. M. Korobov, S. P. Kurdyumov, A. A. Mal'tsev, D. E. Okhotsimskii, V. S. Ryaben'kii, Yu. M. Smirnov, V. M. Tikhomirov, R. P. Fedorenko, K. V. Khodataev, N. N. Chentsov, L. B. Shapiro, M. R. Shura-Bura, T. M. Eneev, “Oleg Vyacheslavovich Lokutsievskii (obituary)”, Uspekhi Mat. Nauk, 46:2(278) (1991), 203–204 ; Russian Math. Surveys, 46:2 (1991), 233–235 |
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1989 |
72. |
A. A. Arsen'ev, A. V. Bitsadze, A. A. Dorodnitsyn, S. V. Emel'yanov, N. P. Erugin, V. A. Il'in, S. P. Kurdyumov, A. N. Tikhonov, “Aleksandr Andreevich Samarskiǐ (on the occasion of his seventieth birthday)”, Differ. Uravn., 25:12 (1989), 2027–2043 ; Differ. Equ., 25:12 (1989), 1419–1438 |
73. |
M. G. Slinko, S. P. Kurdyumov, A. P. Mikhailov, N. N. Kalitkin, “Aleksandr Andreevich Samarskii (the 70th anniversary)”, Matem. Mod., 1:2 (1989), 165–166 |
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1986 |
74. |
V. A. Galaktionov, S. P. Kurdyumov, A. A. Samarskii, “Letter to the Editor”, Mat. Sb. (N.S.), 131(173):3(11) (1986), 413 ; Math. USSR-Sb., 59:2 (1988), 407 |
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