Boltyanskii Vladimir Grigor'evich

Publications in Math-Net.Ru

1. Hindering systems for convex bodies
   
   Mat. Sb., 188:3 (1997),  3–16
2. Solution to the lighting problem for zone bodies
   
   Mat. Zametki, 58:4 (1995),  505–511
3. Belt bodies and Helly dimension
   
   Mat. Sb., 186:2 (1995),  3–20
4. An alternative model of the general theory of relativity
   
   Trudy Mat. Inst. Steklov., 211 (1995),  81–94
5. Solution of the Hadwiger problem for a class of convex bodies
   
   Dokl. Akad. Nauk SSSR, 313:3 (1990),  528–532
6. The tent method in topological vector spaces
   
   Dokl. Akad. Nauk SSSR, 289:5 (1986),  1036–1039
7. Separability of a system of convex cones in a topological vector space
   
   Dokl. Akad. Nauk SSSR, 283:5 (1985),  1044–1047
8. Solution of the Szőkefalvi-Nagy problem for three-dimensional convex bodies
   
   Dokl. Akad. Nauk SSSR, 279:5 (1984),  1033–1035
9. Behavior at infinity of optimal trajectories of an object
   
   Differ. Uravn., 19:8 (1983),  1291–1299
10. The problem of optimization with change of phase space
    
    Differ. Uravn., 19:3 (1983),  518–521
11. Combinatorial geometry
    
    Itogi Nauki i Tekhniki. Ser. Algebra. Topol. Geom., 19 (1981),  209–274
12. Is the Sun a radiosphere?
    
    Differ. Uravn., 16:11 (1980),  1936–1942
13. A computer experiment in calculation of light trajectories
    
    Differ. Uravn., 16:3 (1980),  548–550
14. Anisotropic theory of relativity and optimality
    
    Differ. Uravn., 15:11 (1979),  1923–1932
15. The maximum principle, black holes and quasars
    
    Differ. Uravn., 15:10 (1979),  1888–1890
16. Combinatorial geometry and convexity classes
    
    Uspekhi Mat. Nauk, 33:1(199) (1978),  3–42
17. Borsuk's problem
    
    Mat. Zametki, 22:5 (1977),  621–631
18. Several theorems of combinatorial geometry
    
    Mat. Zametki, 21:1 (1977),  117–124
19. Decomposition equivalence of polyhedra and groups of motions
    
    Dokl. Akad. Nauk SSSR, 231:4 (1976),  788–790
20. Generalization of a theorem of B. Sz.-Nagy
    
    Dokl. Akad. Nauk SSSR, 228:2 (1976),  265–268
21. Helly's theorem for $H$-convex sets
    
    Dokl. Akad. Nauk SSSR, 226:2 (1976),  249–252
22. On certain classes of convex sets
    
    Dokl. Akad. Nauk SSSR, 226:1 (1976),  19–22
23. The method of tents in the theory of extremal problems
    
    Uspekhi Mat. Nauk, 30:3(183) (1975),  3–55
24. On the intersection of local tents
    
    Dokl. Akad. Nauk SSSR, 219:5 (1974),  1042–1044
25. Anisotropic relativism
    
    Differ. Uravn., 10:12 (1974),  2101–2110
26. The maximum principle and the support principle in minimax problems of optimization
    
    Differ. Uravn., 10:10 (1974),  1759–1771
27. Minimax problems of optimal control
    
    Differ. Uravn., 10:7 (1974),  1213–1224
28. Necessary conditions in a minimax problem
    
    Dokl. Akad. Nauk SSSR, 213:2 (1973),  257–260
29. On the proof of the maximum principle for objects with continuous time
    
    Differ. Uravn., 9:10 (1973),  1747–1753
30. The support principle in optimal control problems
    
    Differ. Uravn., 9:8 (1973),  1363–1370
31. Discrete maximum principle (method of local sections)
    
    Differ. Uravn., 8:11 (1972),  1927–1935
32. Criteria for the optimality of discrete processes
    
    Differ. Uravn., 8:10 (1972),  1745–1752
33. Necessary conditions for the extremum of a function
    
    Differ. Uravn., 8:9 (1972),  1553–1559
34. Illumination from within of the boundary of a convex body
    
    Mat. Sb. (N.S.), 87(129):1 (1972),  83–90
35. Separability axioms and a metric
    
    Dokl. Akad. Nauk SSSR, 197:6 (1971),  1239–1242
36. An example of nonlinear synthesis
    
    Differ. Uravn., 6:4 (1970),  644–649
37. Tikhonov semifields and certain problems in general topology
    
    Uspekhi Mat. Nauk, 25:3(153) (1970),  3–48
38. A linear optimal control problem
    
    Differ. Uravn., 5:5 (1969),  783–799
39. The method of local cross sections in the theory of optimal processes
    
    Differ. Uravn., 4:12 (1968),  2166–2183
40. The synthesis of optimal controls in nonlinear oscillatory systems of second order
    
    Differ. Uravn., 3:3 (1967),  380–394
41. Non-oscillatory optimal systems of the second order
    
    Mat. Zametki, 1:6 (1967),  703–714
42. Basic concepts of homology and obstruction theory
    
    Uspekhi Mat. Nauk, 21:5(131) (1966),  117–139
43. An outline of the theory of topological semi-fields
    
    Uspekhi Mat. Nauk, 21:4(130) (1966),  185–218
44. Generalization of a theorem of Hurewicz on the dimension of preimages
    
    Mat. Sb. (N.S.), 69(111):2 (1966),  257–285
45. Sufficient conditions for optimality and the justification of the dynamic programming method
    
    Izv. Akad. Nauk SSSR Ser. Mat., 28:3 (1964),  481–514
46. Sufficient conditions for optimality
    
    Dokl. Akad. Nauk SSSR, 140:5 (1961),  994–997
47. The simulation of linear, optimal high-speed operations by relay circuits
    
    Dokl. Akad. Nauk SSSR, 139:2 (1961),  275–278
48. Очерк основных идей топологии. (Окончание)
    
    Mat. Pros., Ser. 2, 6 (1961),  107–138
49. Application of the theory of optimal processes to problems of approximation of functions
    
    Trudy Mat. Inst. Steklov., 60 (1961),  82–95
50. On principal notions of algebraic topology. Axiomatic definition of cohomology groups
    
    Dokl. Akad. Nauk SSSR, 133:4 (1960),  745–747
51. Theory of optimal processes. I. The maximum principle
    
    Izv. Akad. Nauk SSSR Ser. Mat., 24:1 (1960),  3–42
52. On $k$-regular imbeddings and on applications to theory of function approximation
    
    Uspekhi Mat. Nauk, 15:6(96) (1960),  125–132
53. Mappings of compacta into Euclidean spaces
    
    Izv. Akad. Nauk SSSR Ser. Mat., 23:6 (1959),  871–892
54. О содержании курса математики в средней школе
    
    Mat. Pros., Ser. 2, 4 (1959),  131–143
55. Очерк основных идей топологии. (Продолжение)
    
    Mat. Pros., Ser. 2, 4 (1959),  27–52
56. The maximum principle in the theory of optimum processes
    
    Dokl. Akad. Nauk SSSR, 119:6 (1958),  1070–1073
57. Homotopical classification of vector fields
    
    Dokl. Akad. Nauk SSSR, 118:1 (1958),  13–16
58. Очерк основных идей топологии. (Продолжение)
    
    Mat. Pros., Ser. 2, 3 (1958),  5–40
59. Homotopy classification of cross sections
    
    Mat. Sb. (N.S.), 46(88):1 (1958),  91–124
60. Г. Хадвигер, Ж.-П. Зидлер, П. Глюр. Новые работы о равносоставленности многоугольников и многогранников
    
    Mat. Pros., Ser. 2, 2 (1957),  263–265
61. Очерк основных идей топологии
    
    Mat. Pros., Ser. 2, 2 (1957),  3–34
62. Second obstructions for cross-sections
    
    Izv. Akad. Nauk SSSR Ser. Mat., 20:1 (1956),  99–136
63. Fibering of function spaces
    
    Tr. Mosk. Mat. Obs., 5 (1956),  299–309
64. Homotopy theory of continuous mappings and of vector fields
    
    Trudy Mat. Inst. Steklov., 47 (1955),  3–199
65. On the theorem of addition of dimensions
    
    Uspekhi Mat. Nauk, 6:3(43) (1951),  99–128
66. A new geometric characteristic of the Urysohn dimension
    
    Mat. Sb. (N.S.), 29(71):3 (1951),  603–614


67. О вращении отрезка
    
    Kvant, 2019, no. 5,  17–21
68. Топология графов
    
    Kvant, 2005, no. 3,  2–9
69. Aleksei Alekseevich Milyutin (obituary)
    
    Uspekhi Mat. Nauk, 57:3(345) (2002),  137–140
70. The tents method and the theory of extremum
    
    Fundam. Prikl. Mat., 3:1 (1997),  3–13
71. Mikhail Mikhailovich Postnikov (on his 60th birthday)
    
    Uspekhi Mat. Nauk, 44:6(270) (1989),  163–164
72. Isaak Moiseevich Yaglom (obituary)
    
    Uspekhi Mat. Nauk, 44:1(265) (1989),  179–180
73. International Symposium in Herceg-Novi
    
    Uspekhi Mat. Nauk, 24:1(145) (1969),  219–234
74. Lev Semenovich Pontryagin (on the occasion of his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 23:6(144) (1968),  187–196
75. International Congress of Mathematicians (Moscow, 1966)
    
    Uspekhi Mat. Nauk, 22:4(136) (1967),  137–143
76. Tashmukhamed Alievich Sarymsakov (on the occasion of his fiftieth birthday)
    
    Uspekhi Mat. Nauk, 21:3(129) (1966),  248–253
77. XXI школьная математическая олимпиада в Москве
    
    Mat. Pros., Ser. 2, 6 (1961),  301–309
78. Книга о геометрии четырех измерений
    
    Mat. Pros., Ser. 2, 3 (1958),  307–309
79. A. M. Yaglom and I. M. Yaglom, Non-elementary problems in an elementary exposition (review)
    
    Uspekhi Mat. Nauk, 11:1(67) (1956),  266–268