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Ibragimov, Gafurjan Ismailovich
Statistics Math-Net.Ru
Total publications: 23
Scientific articles: 23

Number of views:
This page:1089
Abstract pages:4606
Full texts:2228
References:551
Senior Researcher
Candidate of physico-mathematical sciences
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 29.01.1962
E-mail: , ,
Keywords: differential game, pursuit, evader, optimal control, cost of the game, optimal pursuit time, simultaneous games, optimal mixed strategies, saddle point.

Subject:

a) The problem of optimality of pursuit time was formulated and solved for the differential game with integral constraints on controls of players on a closed convex subset of $R^n$. It is constructed optimal strategies of players and given formula for finding optimal pursuit time; b) It was considered problems of linear differential games of many pursuers with integral constraints on controls of players. It was obtained sufficient conditions for terminating of the game. In the game with one pursuer this condition becomes necessary one; c) It was investigated zero-sum games in Hilbert space (with N. Yu. Satimov). It was constructed $\varepsilon$-optimal mixed strategies of players and founded value of the game.

Biography

Graduated from Faculty of Mathematics of Tashkent State University (TashSU). In 1984 (Department of Differential equations). Ph.D thesis was defended in 1991. A list of my works contains about 40 titles.
   
Main publications:
  • Ibragimov G. I. A game of optimal pursuit of one object by several // J. Appl. Maths Mechs, 1998, vol. 62, no. 2, p. 187–192.

https://www.mathnet.ru/eng/person18010
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/222986

Publications in Math-Net.Ru Citations
2024
1. Sh. A. Alimov, G. I. Ibragimov, “Time optimal control problem with integral constraint for the heat transfer process”, Eurasian Math. J., 15:1 (2024),  8–22  mathnet
2. R. Yu. Kazimirova, G. I. Ibragimov, R. M. Hasim, “Multi-pursuer pursuit differential game for an infinite system of second order differential equations”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 34:1 (2024),  48–64  mathnet  isi
2020
3. Bahrom T. Samatov, Gafurjan Ibragimov, Iroda V. Khodjibayeva, “Pursuit-evasion differential games with Grönwall-type constraints on controls”, Ural Math. J., 6:2 (2020),  95–107  mathnet  mathscinet  elib  scopus 13
4. Odiljon S. Akhmedov, Abdulla A. Azamov, Gafurjan I. Ibragimov, “Four-dimensional brusselator model with periodical solution”, Ural Math. J., 6:1 (2020),  3–15  mathnet  mathscinet  zmath  elib  scopus 2
2012
5. N. Yu. Satimov, G. I. Ibragimov, “One class of simultaneous pursuit games”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 5,  46–55  mathnet  mathscinet; Russian Math. (Iz. VUZ), 56:5 (2012), 39–46  scopus 2
2010
6. Atamurat Sh. Kuchkarov, Gafurjan I. Ibragimov, “An Analogue of the ${\pi}$-strategy in Pursuit and Evasion Differential Games with many Pursuers on a Surface”, Contributions to Game Theory and Management, 3 (2010),  247–256  mathnet
2006
7. G. I. Ibragimov, B. B. Rikhsiev, “On some sufficient conditions for optimality of the pursuit time in the differential game with multiple pursuers”, Avtomat. i Telemekh., 2006, no. 4,  16–24  mathnet  mathscinet  zmath; Autom. Remote Control, 67:4 (2006), 529–537  scopus 10
2005
8. G. I. Ibragimov, “A group pursuit game”, Avtomat. i Telemekh., 2005, no. 8,  24–35  mathnet  mathscinet  zmath; Autom. Remote Control, 66:8 (2005), 1214–1223  scopus 2
9. G. I. Ibragimov, “Optimal Pursuit with Countably Many Pursuers and One Evader”, Differ. Uravn., 41:5 (2005),  603–610  mathnet  mathscinet; Differ. Equ., 41:5 (2005), 627–635 37
10. G. I. Ibragimov, “Problems of Linear Discrete Games of Pursuit”, Mat. Zametki, 77:5 (2005),  707–718  mathnet  mathscinet  zmath; Math. Notes, 77:5 (2005), 653–662  isi  scopus 6
2004
11. N. Yu. Satimov, G. I. Ibragimov, “On a pursuit problem for discrete games with several participants”, Izv. Vyssh. Uchebn. Zaved. Mat., 2004, no. 12,  46–57  mathnet  mathscinet  elib; Russian Math. (Iz. VUZ), 48:12 (2004), 43–54 1
12. G. I. Ibragimov, “An $n$-person differential game with integral constraints on the controls of the players”, Izv. Vyssh. Uchebn. Zaved. Mat., 2004, no. 1,  48–52  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 48:1 (2004), 45–49 3
2003
13. G. I. Ibragimov, “Collective Pursuit with Integral Constraints on the Controls of Players”, Mat. Tr., 6:2 (2003),  66–79  mathnet  mathscinet  zmath; Siberian Adv. Math., 14:2 (2004), 14–26 4
2001
14. G. I. Ibragimov, “A Game Problem on a Closed Convex Set”, Mat. Tr., 4:2 (2001),  96–112  mathnet  mathscinet  zmath; Siberian Adv. Math., 12:3 (2002), 16–31 8
15. G. I. Ibragimov, “On a Multiperson Pursuit Problem with Integral Constraints on the Controls of the Players”, Mat. Zametki, 70:2 (2001),  201–212  mathnet  mathscinet  zmath  elib; Math. Notes, 70:2 (2001), 181–191  isi 10
1988
16. G. I. Ibragimov, “Convergence of a double Dirichlet series in a product of closed polygons”, Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 10,  76–79  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 32:10 (1988), 118–122
17. G. I. Ibragimov, “Representation of analytic functions in a closed polydomain by Dirichlet series”, Sibirsk. Mat. Zh., 29:2 (1988),  194–199  mathnet  mathscinet  zmath; Siberian Math. J., 29:2 (1988), 315–319  isi
1986
18. G. I. Ibragimov, “Representation of analytic functions of two variables by Dirichlet series in the product of half planes”, Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 8,  13–22  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 30:8 (1986), 15–25
1984
19. G. I. Ibragimov, “The problem of choice of an optimal dynamical series with a limited lifetime of goods”, Upravliaemie systemy, 1984, no. 24,  30–34  mathnet  mathscinet  zmath
20. V. L. Beresnev, G. I. Ibragimov, Yu. A. Kochetov, “Algorithm for the solution of a problem of optimal choice of a dynamic series of goods”, Upravliaemie systemy, 1984, no. 24,  3–19  mathnet  mathscinet  zmath
1973
21. G. I. Ibragimov, “The growth of functions that are defined by multiple Dirichlet series”, Izv. Vyssh. Uchebn. Zaved. Mat., 1973, no. 7,  32–40  mathnet  mathscinet  zmath
1972
22. G. I. Ibragimov, “Mean values of entire functions of two complex variables that are represented by Dirichlet series”, Izv. Vyssh. Uchebn. Zaved. Mat., 1972, no. 6,  36–40  mathnet  mathscinet  zmath
1964
23. G. I. Ibragimov, “On the completeness of subsystems of Faber polynomials on curves in the complex plane”, Mat. Sb. (N.S.), 65(107):1 (1964),  3–17  mathnet  mathscinet  zmath

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