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Petrov, Nikolai Nikolaevich
(1939–2012)
Statistics Math-Net.Ru
Total publications: 46
Scientific articles: 45
Presentations: 1

Number of views:
This page:3123
Abstract pages:6674
Full texts:3018
References:91
Professor
Doctor of physico-mathematical sciences (1976)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 9.06.1939

https://www.mathnet.ru/eng/person58283
https://ru.wikipedia.org/wiki/Petrov,_Nikolai_Nikolaevich_(matematik)
List of publications on Google Scholar
List of publications on ZentralBlatt

Publications in Math-Net.Ru Citations
2011
1. Tatiana V. Abramovskaya, Nikolai N. Petrov, “Graph Searching Games with a Radius of Capture”, Contributions to Game Theory and Management, 4 (2011),  8–18  mathnet
2005
2. V. Yu. Andrianov, N. N. Petrov, “Search under counteraction”, Trudy Inst. Mat. i Mekh. UrO RAN, 11:1 (2005),  17–25  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math. (Suppl.), 2005no. , suppl. 1, S16–S24 1
2000
3. P. A. Golovach, N. N. Petrov, F. V. Fomin, “Search in graphs”, Trudy Inst. Mat. i Mekh. UrO RAN, 6:1 (2000),  39–54  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math. (Suppl.), 2000no. , suppl. 1, S90–S103 6
1997
4. N. N. Petrov, “On the sum of squares of vector fields”, Differ. Uravn., 33:11 (1997),  1516–1522  mathnet  mathscinet; Differ. Equ., 33:11 (1997), 1522–1527
5. N. N. Petrov, “Dependence of the Bellman function on a parameter for two-dimensional control systems”, Differ. Uravn., 33:5 (1997),  664–671  mathnet  mathscinet; Differ. Equ., 33:5 (1997), 667–674
1996
6. N. N. Petrov, “Pursuit of an invisible moving object”, Differ. Uravn., 32:11 (1996),  1563–1565  mathnet  mathscinet  zmath; Differ. Equ., 32:11 (1996), 1560–1562
7. N. N. Petrov, “Search problems on graphs of regular polyhedra”, Diskr. Mat., 8:2 (1996),  108–116  mathnet  mathscinet  zmath; Discrete Math. Appl., 6:3 (1996), 233–240 1
1995
8. N. N. Petrov, “Some problems on the qualitative theory of dynamical polysystems”, Differ. Uravn., 31:12 (1995),  2005–2012  mathnet  mathscinet; Differ. Equ., 31:12 (1995), 1975–1982
9. N. N. Petrov, “On a problem in sub-Riemannian geometry”, Differ. Uravn., 31:6 (1995),  973–979  mathnet  mathscinet; Differ. Equ., 31:6 (1995), 911–916
1994
10. N. N. Petrov, “Shortest sub-Riemannian geodesics”, Differ. Uravn., 30:5 (1994),  768–775  mathnet  mathscinet; Differ. Equ., 30:5 (1994), 705–711 1
1993
11. N. L. Belaya, N. N. Petrov, “Continuability of the trajectories of control systems and the boundedness of the integral funnel”, Differ. Uravn., 29:6 (1993),  927–932  mathnet  mathscinet; Differ. Equ., 29:6 (1993), 792–797
1992
12. N. N. Petrov, “Completely controllable dynamical polysystems”, Differ. Uravn., 28:3 (1992),  423–428  mathnet  mathscinet; Differ. Equ., 28:3 (1992), 355–360
1991
13. N. N. Petrov, “Control problems and separability axioms”, Differ. Uravn., 27:6 (1991),  988–994  mathnet  mathscinet; Differ. Equ., 27:6 (1991), 696–701
14. A. A. Liverovskiy, N. N. Petrov, “Some differential-topological problems in control theory”, Differ. Uravn., 27:5 (1991),  771–777  mathnet  mathscinet; Differ. Equ., 27:5 (1991), 524–529
1989
15. N. N. Petrov, I. S. Han, “Limit sets for trajectories of dynamical polysystems”, Differ. Uravn., 25:11 (1989),  1910–1915  mathnet  mathscinet; Differ. Equ., 25:11 (1989), 1342–1346
1988
16. A. A. Liverovskiy, N. N. Petrov, “Normal local controllability”, Differ. Uravn., 24:9 (1988),  1520–1528  mathnet  mathscinet; Differ. Equ., 24:9 (1988), 996–1002
1987
17. N. N. Petrov, “Problems of pursuit on the $1$-skeleton of a cube”, Differ. Uravn., 23:5 (1987),  908–911  mathnet  mathscinet  zmath
18. N. N. Petrov, V. A. Prokopenko, “On a problem of the pursuit of a group of evaders”, Differ. Uravn., 23:4 (1987),  725–726  mathnet  mathscinet  zmath 11
1985
19. N. N. Petrov, “The minimum number of vector fields forming a control system with given properties”, Differ. Uravn., 21:12 (1985),  2063–2068  mathnet  mathscinet
20. A. Ya. Narmanov, N. N. Petrov, “Nonlocal problems in the theory of optimal processes. II”, Differ. Uravn., 21:6 (1985),  955–962  mathnet  mathscinet
21. A. Ya. Narmanov, N. N. Petrov, “Nonlocal problems in the theory of optimal processes. I”, Differ. Uravn., 21:4 (1985),  605–614  mathnet  mathscinet  zmath 2
22. D. A. Ganichev, N. N. Petrov, L. B. Prozorov, “INVESTIGATION OF POSSIBILITIES FOR DETERMINATION OF THE DEPTH OF CHARGE SPOT FIELD PENETRATION INTO THE GYROTROPIC CRYSTAL”, Zhurnal Tekhnicheskoi Fiziki, 55:11 (1985),  2238–2240  mathnet
1983
23. N. N. Petrov, N. Nikandrovich Petrov, “The “Cossack-robber” differential game”, Differ. Uravn., 19:8 (1983),  1366–1374  mathnet  mathscinet  zmath 16
1982
24. N. N. Petrov, “A problem of pursuit in the absence of information on the pursued”, Differ. Uravn., 18:8 (1982),  1345–1352  mathnet  mathscinet 1
25. N. N. Petrov, “Some extremal search problems on graphs”, Differ. Uravn., 18:5 (1982),  821–827  mathnet  mathscinet  zmath 1
1980
26. N. N. Petrov, “A generalization of the notion of foliation”, Differ. Uravn., 16:6 (1980),  1032–1036  mathnet  mathscinet  zmath
1979
27. N. N. Petrov, “An analogue of the Birkhoff theory for invariant sets of control systems”, Differ. Uravn., 15:12 (1979),  2155–2160  mathnet  mathscinet  zmath
28. N. N. Petrov, “Symmetric completely controllable control systems”, Differ. Uravn., 15:11 (1979),  1980–1986  mathnet  mathscinet  zmath
29. N. N. Petrov, “Continuity of the Bellman function in degenerate cases”, Differ. Uravn., 15:5 (1979),  809–814  mathnet  mathscinet  zmath
30. N. N. Petrov, “A remark on plane analytic control systems”, Differ. Uravn., 15:4 (1979),  743–744  mathnet  mathscinet  zmath
1977
31. N. N. Petrov, “The correctness of a time-optimality problem”, Differ. Uravn., 13:11 (1977),  1974–1980  mathnet  mathscinet  zmath
32. I. A. Abroyan, V. V. Korablev, N. N. Petrov, A. I. Titov, “Secondary-emission methods of investigating the structure and composition of the surface layers of solids”, UFN, 122:3 (1977),  528–529  mathnet; Phys. Usp., 20:7 (1977), 640–642 1
1976
33. N. N. Petrov, “Local controllability”, Differ. Uravn., 12:12 (1976),  2214–2222  mathnet  mathscinet  zmath 1
1973
34. N. N. Petrov, “Certain invariant sets of control systems”, Differ. Uravn., 9:11 (1973),  2095–2096  mathnet  mathscinet  zmath
35. N. N. Petrov, “The boundary of the set of controllability of plane holomorphic systems”, Differ. Uravn., 9:9 (1973),  1618–1626  mathnet  mathscinet
36. N. N. Petrov, “Certain questions of the control theory in the plane”, Differ. Uravn., 9:6 (1973),  1058–1067  mathnet  mathscinet  zmath
37. N. N. Petrov, “The absence of the value of a pursuit game”, Differ. Uravn., 9:5 (1973),  860–867  mathnet  mathscinet
1971
38. N. N. Petrov, “Existence of a value of a pursuit game”, Differ. Uravn., 7:5 (1971),  827–839  mathnet  mathscinet  zmath
1970
39. N. N. Petrov, “The existence of a value of a pursuit game”, Dokl. Akad. Nauk SSSR, 190:6 (1970),  1289–1291  mathnet  mathscinet  zmath 2
40. N. N. Petrov, “The continuity of the generalized Bellman function”, Differ. Uravn., 6:2 (1970),  373–374  mathnet  mathscinet  zmath 1
1969
41. N. N. Petrov, “A solution of a certain problem in control theory”, Differ. Uravn., 5:5 (1969),  962–963  mathnet  mathscinet  zmath 4
1968
42. N. N. Petrov, “Local controllability of autonomous systems”, Differ. Uravn., 4:7 (1968),  1218–1232  mathnet  mathscinet  zmath 8
43. N. N. Petrov, “Controllability of autonomous systems”, Differ. Uravn., 4:4 (1968),  606–617  mathnet  mathscinet  zmath 34
1967
44. A. I. Kondrashov, N. N. Petrov, “The energy spectrum of electron emission by a single $\mathrm{KCl}$ crystal bombarded by helium ions”, Dokl. Akad. Nauk SSSR, 173:1 (1967),  67–69  mathnet
45. I. A. Abroyan, M. A. Eremeev, N. N. Petrov, “Excitation of electrons in solids by relatively slow atomic particles”, UFN, 92:1 (1967),  105–157  mathnet; Phys. Usp., 10:3 (1967), 332–367 52
1991
46. A. A. Liverovskiy, N. N. Petrov, “Letter to the editors: “Some differential-topological problems in control theory””, Differ. Uravn., 27:12 (1991),  2201  mathnet  mathscinet; Differ. Equ., 27:12 (1991), 1550–1992

Presentations in Math-Net.Ru
1. Quantum mechanics and neurophysiology. In search of a unified theory
N. N. Petrov
Meetings of the St. Petersburg Mathematical Society
October 16, 2007

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