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Pontryagin, Lev Semenovich
(1908–1988)

Statistics Math-Net.Ru
Total publications: 60
Scientific articles: 52

Number of views:
This page:6715
Abstract pages:44467
Full texts:24400
References:446
Member of the USSR Academy of Sciences
Doctor of physico-mathematical sciences (1935)
Birth date: 03.09.1908
Website: https://cs.msu.ru/persons/47; https://letopis.msu.ru/peoples/2456

https://www.mathnet.ru/eng/person21723
https://ru.wikipedia.org/wiki/Pontryagin,_Lev_Semenovich
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/192339

Publications in Math-Net.Ru Citations
1998
1. L. S. Pontryagin, “My Gratitude to History of Mathematics”, Math. Ed., 1998, no. 2(5),  22–30  mathnet
2. L. S. Pontryagin, “Ethics and Arithmetic”, Math. Ed., 1998, no. 2(5),  19–21  mathnet
1988
3. L. S. Pontryagin, A. S. Mishchenko, “Linear differential games (an analytic theory based on alternating integration)”, Trudy Mat. Inst. Steklov., 185 (1988),  208–214  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 185 (1990), 233–240
4. L. S. Pontryagin, “Linear differential games”, Trudy Mat. Inst. Steklov., 185 (1988),  200–207  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 185 (1990), 225–232 1
1986
5. L. S. Pontryagin, A. S. Mishchenko, “The linear differential game of pursuit (analytic theory)”, Mat. Sb. (N.S.), 131(173):2(10) (1986),  131–158  mathnet  mathscinet  zmath; Math. USSR-Sb., 59:1 (1988), 129–154 7
1985
6. L. S. Pontryagin, “The mathematical theory of optimal processes and differential games”, Trudy Mat. Inst. Steklov., 169 (1985),  119–158  mathnet  mathscinet  zmath 21
7. L. S. Pontryagin, E. F. Mishchenko, “Some problems in the theory of differential equations with a small parameter”, Trudy Mat. Inst. Steklov., 169 (1985),  99–118  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 169 (1986), 103–122 6
1984
8. L. S. Pontryagin, A. S. Mishchenko, “Solution of a linear differential game of pursuit based on alternating integration without discrimination of evasion control”, Dokl. Akad. Nauk SSSR, 277:6 (1984),  1330–1334  mathnet  mathscinet  zmath 1
9. L. S. Pontryagin, A. S. Mishchenko, “Solution of a linear differential game of pursuit without discrimination of the evading object”, Dokl. Akad. Nauk SSSR, 277:5 (1984),  1063–1066  mathnet  mathscinet  zmath 1
10. L. S. Pontryagin, “The application of combinatorial topology to compact metric spaces”, Uspekhi Mat. Nauk, 39:5(239) (1984),  131–164  mathnet  mathscinet  zmath; Russian Math. Surveys, 39:5 (1984), 155–191  isi 2
11. L. S. Pontryagin, “On my papers in topology and topological algebra”, Trudy Mat. Inst. Steklov., 168 (1984),  236–249  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 168 (1986), 253–266 1
1980
12. L. S. Pontryagin, “Linear differential games of pursuit”, Mat. Sb. (N.S.), 112(154):3(7) (1980),  307–330  mathnet  mathscinet  zmath; Math. USSR-Sb., 40:3 (1981), 285–303  isi 163
1978
13. L. S. Pontryagin, “Optimization in differential games”, Uspekhi Mat. Nauk, 33:6(204) (1978),  22–28  mathnet  mathscinet  zmath; Russian Math. Surveys, 33:6 (1978), 25–32 7
1971
14. L. S. Pontryagin, E. F. Mishchenko, “The problem of evasion in linear differential games”, Differ. Uravn., 7:3 (1971),  436–445  mathnet  mathscinet  zmath 13
15. L. S. Pontryagin, “A linear differential evasion game”, Trudy Mat. Inst. Steklov., 112 (1971),  30–63  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 112 (1971), 27–60 14
1970
16. L. S. Pontryagin, “A linear differential evasion game”, Dokl. Akad. Nauk SSSR, 191:2 (1970),  283–285  mathnet  mathscinet  zmath 2
1969
17. L. S. Pontryagin, E. F. Mishchenko, “The problem of the escape of one controlled object from another”, Dokl. Akad. Nauk SSSR, 189:4 (1969),  721–723  mathnet  mathscinet  zmath 11
1968
18. L. S. Pontryagin, “Homologies in compact Lie groups”, Uspekhi Mat. Nauk, 23:6(144) (1968),  151–185  mathnet  mathscinet 1
1967
19. L. S. Pontryagin, “Linear differential games. I, II”, Dokl. Akad. Nauk SSSR, 175:4 (1967),  764–766  mathnet  mathscinet  zmath 58
20. L. Pontryagin, “Linear differential games. I, II”, Dokl. Akad. Nauk SSSR, 174:6 (1967),  1278–1280  mathnet  mathscinet  zmath 36
21. E. F. Mishchenko, L. S. Pontryagin, “Linear differential games”, Dokl. Akad. Nauk SSSR, 174:1 (1967),  27–29  mathnet  mathscinet  zmath 8
1966
22. L. S. Pontryagin, “On the theory of differential games”, Uspekhi Mat. Nauk, 21:4(130) (1966),  219–274  mathnet  mathscinet  zmath; Russian Math. Surveys, 21:4 (1966), 193–246 66
1964
23. L. S. Pontryagin, “On some differential games”, Dokl. Akad. Nauk SSSR, 156:4 (1964),  738–741  mathnet  mathscinet  zmath 7
1962
24. A. N. Kolmogorov, E. F. Mishchenko, L. S. Pontryagin, “A probability problem of optimal control”, Dokl. Akad. Nauk SSSR, 145:5 (1962),  993–995  mathnet  mathscinet  zmath 2
1961
25. E. F. Mishchenko, L. S. Pontryagin, “On a statistical problem in optimal control”, Izv. Akad. Nauk SSSR Ser. Mat., 25:4 (1961),  477–498  mathnet  mathscinet  zmath 3
1960
26. L. S. Pontryagin, L. V. Rodygin, “Periodic solution of a system of ordinary differential equations with a small parameter in the terms containing derivatives”, Dokl. Akad. Nauk SSSR, 132:3 (1960),  537–540  mathnet  mathscinet  zmath 6
27. L. S. Pontryagin, L. V. Rodygin, “Approximate solution of a system of ordinary differential equations involving a small parameter in the derivatives”, Dokl. Akad. Nauk SSSR, 131:2 (1960),  255–258  mathnet  mathscinet  zmath 2
28. V. G. Boltyanskii, R. V. Gamkrelidze, L. S. Pontryagin, “Theory of optimal processes. I. The maximum principle”, Izv. Akad. Nauk SSSR Ser. Mat., 24:1 (1960),  3–42  mathnet  mathscinet  zmath
1959
29. E. F. Mishchenko, L. S. Pontryagin, “Derivation of certain asymptotic estimates for solutions of differential equations with a small parameter in the derivatives”, Izv. Akad. Nauk SSSR Ser. Mat., 23:5 (1959),  643–660  mathnet  mathscinet  zmath 9
30. L. S. Pontryagin, “Optimal regulation processes”, Uspekhi Mat. Nauk, 14:1(85) (1959),  3–20  mathnet  mathscinet  zmath 4
1958
31. E. F. Mishchenko, L. S. Pontryagin, “A proof of some asymptotic formulas for solutions of differential equations involving a small parameter”, Dokl. Akad. Nauk SSSR, 120:5 (1958),  967–969  mathnet  mathscinet  zmath 4
1957
32. L. S. Pontryagin, “Asymptotic behavior of solutions of systems of differential equations with a small parameter in the derivatives of highest order”, Izv. Akad. Nauk SSSR Ser. Mat., 21:5 (1957),  605–626  mathnet  mathscinet  zmath 14
1955
33. L. S. Pontryagin, “Smooth manifolds and their applications in homotopy theory”, Trudy Mat. Inst. Steklov., 45 (1955),  3–139  mathnet  mathscinet  zmath 8
1950
34. L. S. Pontryagin, “Classification of the mappings of an $(n+1)$-dimensional sphere into a polyhedron $K_n$ whose fundamental group and Betti groups of dimensions $2,\cdots,n-1$ are trivial”, Izv. Akad. Nauk SSSR Ser. Mat., 14:1 (1950),  7–44  mathnet  mathscinet  zmath
1949
35. L. S. Pontryagin, “On a connection between homology and homotopy”, Izv. Akad. Nauk SSSR Ser. Mat., 13:3 (1949),  193–200  mathnet  mathscinet  zmath
36. L. S. Pontryagin, “Some topological invariants of closed Riemannian manifolds”, Izv. Akad. Nauk SSSR Ser. Mat., 13:2 (1949),  125–162  mathnet  mathscinet  zmath 5
37. L. S. Pontryagin, “Vector fields on manifolds”, Mat. Sb. (N.S.), 24(66):2 (1949),  129–162  mathnet  mathscinet  zmath 6
1947
38. L. S. Pontryagin, “The general topological theorem of duality for closed sets”, Uspekhi Mat. Nauk, 2:2(18) (1947),  45–55  mathnet  mathscinet
39. L. S. Pontryagin, “Topological duality theorems”, Uspekhi Mat. Nauk, 2:2(18) (1947),  21–44  mathnet  mathscinet 2
40. M. E. Glezerman, L. S. Pontryagin, “Intersections in manifolds”, Uspekhi Mat. Nauk, 2:1(17) (1947),  58–155  mathnet  mathscinet 2
41. L. S. Pontryagin, “Characteristic cycles on differentiable manifolds”, Rec. Math. [Mat. Sbornik] N.S., 21(63):2 (1947),  233–284  mathnet  mathscinet  zmath 2
1944
42. L. Pontrjagin, “Hermitian ореrators in spaces with indefinite metric”, Izv. Akad. Nauk SSSR Ser. Mat., 8:6 (1944),  243–280  mathnet  mathscinet  zmath 35
1942
43. L. Pontrjagin, “On zeros of some transcendental functions”, Izv. Akad. Nauk SSSR Ser. Mat., 6:3 (1942),  115–134  mathnet  mathscinet  zmath 8
44. L. Pontrjagin, “A method of calculation of homology groups”, Rec. Math. [Mat. Sbornik] N.S., 11(53):1-2 (1942),  3–14  mathnet  mathscinet  zmath 1
1941
45. L. Pontrjagin, “A classification of mappings of the three-dimensional complex into the two-dimensional sphere”, Rec. Math. [Mat. Sbornik] N.S., 9(51):2 (1941),  331–363  mathnet  mathscinet  zmath 2
46. L. Pontrjagin, “Products in complexes”, Rec. Math. [Mat. Sbornik] N.S., 9(51):2 (1941),  321–330  mathnet  mathscinet  zmath
1939
47. L. Pontrjagin, “Homologies in compact Lie groups”, Rec. Math. [Mat. Sbornik] N.S., 6(48):3 (1939),  389–422  mathnet  mathscinet  zmath 4
1938
48. L. S. Pontryagin, “Lie groups”, Uspekhi Mat. Nauk, 1938, no. 4,  165–200  mathnet
1936
49. L. S. Pontryagin, “Theory of topological commutative groups”, Uspekhi Mat. Nauk, 1936, no. 2,  177–195  mathnet 2
50. L. S. Pontryagin, “Linear representations of topological groups”, Uspekhi Mat. Nauk, 1936, no. 2,  121–143  mathnet  zmath
51. L. Pontrjagin, “Propriétés topologiques des groupes de Lie compacts”, Rec. Math. [Mat. Sbornik] N.S., 1(43):5 (1936),  736  mathnet
52. L. Pontrjagin, “Linear representations of compact topological groups”, Rec. Math. [Mat. Sbornik] N.S., 1(43):3 (1936),  267–272  mathnet  zmath

1988
53. M. S. Gorbachev, V. I. Vorotnikov, L. N. Zaikov, E. K. Ligachev, N. I. Ryzhkov, N. N. Slyun'kov, A. N. Yakovlev, B. N. El'tsin, G. I. Marchuk, V. A. Grigor'ev, G. A. Yagodin, V. A. Kotel'nikov, P. N. Fedoseev, E. P. Velikhov, A. A. Logunov, V. A. Koptyug, K. V. Frolov, A. L. Yanshin, G. K. Skryabin, N. N. Bogolyubov, V. S. Vladimirov, I. M. Gel'fand, V. S. Mikhalevich, E. F. Mishchenko, S. M. Nikol'skii, S. P. Novikov, L. S. Pontryagin, Yu. V. Prokhorov, S. L. Sobolev, A. N. Tikhonov, L. D. Faddeev, A. M. Obukhov, “Academician Andrei Nikolaevich Kolmogorov (obituary)”, Uspekhi Mat. Nauk, 43:1(259) (1988),  3–4  mathnet  mathscinet; Russian Math. Surveys, 43:1 (1988), 1–2  isi
54. M. S. Gorbachev, V. I. Vorotnikov, L. N. Zaikov, E. K. Ligachev, N. I. Ryzhkov, N. N. Slyun'kov, A. N. Yakovlev, B. N. El'tsin, G. I. Marchuk, V. A. Grigor'ev, G. A. Yagodin, V. A. Kotel'nikov, P. N. Fedoseev, E. P. Velikhov, A. A. Logunov, V. A. Koptyug, K. V. Frolov, A. L. Yanshin, G. K. Skryabin, N. N. Bogolyubov, V. S. Vladimirov, I. M. Gel'fand, V. S. Mikhalevich, E. F. Mishchenko, S. M. Nikol'skii, S. P. Novikov, L. S. Pontryagin, Yu. V. Prokhorov, S. L. Sobolev, A. N. Tikhonov, L. D. Faddeev, A. M. Obukhov, “Academician Andrey Nikolaevich Kolmogorov”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1988, no. 2,  98–99  mathnet  mathscinet  zmath
1984
55. S. P. Demushkin, A. I. Kostrikin, S. P. Novikov, A. N. Parshin, L. S. Pontryagin, A. N. Tyurin, D. K. Faddeev, “Igor' Rostislavovich Shafarevich (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 39:1(235) (1984),  167–174  mathnet  mathscinet  zmath; Russian Math. Surveys, 39:1 (1984), 189–200  isi 2
1981
56. V. S. Vladimirov, A. K. Gushchin, A. A. Dezin, V. M. Millionshchikov, L. S. Pontryagin, “Valentin Petrovich Mikhaǐlov (on the occasion of his fiftieth birthday)”, Differ. Uravn., 17:4 (1981),  757–762  mathnet  mathscinet  zmath 1
1978
57. L. S. Pontryagin, “A short autobiography of L. S. Pontryagin”, Uspekhi Mat. Nauk, 33:6(204) (1978),  7–21  mathnet  mathscinet  zmath; Russian Math. Surveys, 33:6 (1978), 7–24 3
1965
58. M. A. Aizerman, M. G. Krein, L. A. Lyusternik, M. A. Naimark, L. S. Pontryagin, S. L. Sobolev, S. A. Khristianovich, Ya. B. Shor, “Feliks Ruvimovich Gantmakher (obituary)”, Uspekhi Mat. Nauk, 20:2(122) (1965),  149–157  mathnet  mathscinet  zmath; Russian Math. Surveys, 20:2 (1965), 143–151 2
1956
59. L. S. Pontryagin, E. F. Mishchenko, “Pavel Sergeevich Aleksandrov (on the sixtieth anniversary of his birth and fortieth anniversary of scientific activities)”, Uspekhi Mat. Nauk, 11:4(70) (1956),  183–192  mathnet  zmath 1
1936
60. L. S. Pontryagin, “Problems of theory of topological groups”, Uspekhi Mat. Nauk, 1936, no. 2,  118–120  mathnet  zmath

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