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Ibragimov, Gafurjan Ismailovich

 Statistics Math-Net.Ru Total publications: 21 Scientific articles: 21

 Number of views: This page: 935 Abstract pages: 2956 Full texts: 1583 References: 299
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.

http://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
 2020 1. 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 2. Odiljon S. Akhmedov, Abdulla A. Azamov, Gafurjan I. Ibragimov, “Four-dimensional brusselator model with periodical solution”, Ural Math. J., 6:1 (2020),  3–15 2012 3. N. Yu. Satimov, G. I. Ibragimov, “One class of simultaneous pursuit games”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, 5,  46–55    ; Russian Math. (Iz. VUZ), 56:5 (2012), 39–46 2010 4. 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 2006 5. 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, 4,  16–24      ; Autom. Remote Control, 67:4 (2006), 529–537 2005 6. G. I. Ibragimov, “A group pursuit game”, Avtomat. i Telemekh., 2005, 8,  24–35      ; Autom. Remote Control, 66:8 (2005), 1214–1223 7. G. I. Ibragimov, “Optimal Pursuit with Countably Many Pursuers and One Evader”, Differ. Uravn., 41:5 (2005),  603–610    ; Differ. Equ., 41:5 (2005), 627–635 8. G. I. Ibragimov, “Problems of Linear Discrete Games of Pursuit”, Mat. Zametki, 77:5 (2005),  707–718      ; Math. Notes, 77:5 (2005), 653–662 2004 9. N. Yu. Satimov, G. I. Ibragimov, “On a pursuit problem for discrete games with several participants”, Izv. Vyssh. Uchebn. Zaved. Mat., 2004, 12,  46–57      ; Russian Math. (Iz. VUZ), 48:12 (2004), 43–54 10. G. I. Ibragimov, “An $n$-person differential game with integral constraints on the controls of the players”, Izv. Vyssh. Uchebn. Zaved. Mat., 2004, 1,  48–52        ; Russian Math. (Iz. VUZ), 48:1 (2004), 45–49 2003 11. G. I. Ibragimov, “Collective Pursuit with Integral Constraints on the Controls of Players”, Mat. Tr., 6:2 (2003),  66–79      ; Siberian Adv. Math., 14:2 (2004), 14–26 2001 12. G. I. Ibragimov, “A Game Problem on a Closed Convex Set”, Mat. Tr., 4:2 (2001),  96–112      ; Siberian Adv. Math., 12:3 (2002), 16–31 13. G. I. Ibragimov, “On a Multiperson Pursuit Problem with Integral Constraints on the Controls of the Players”, Mat. Zametki, 70:2 (2001),  201–212        ; Math. Notes, 70:2 (2001), 181–191 1988 14. G. I. Ibragimov, “Convergence of a double Dirichlet series in a product of closed polygons”, Izv. Vyssh. Uchebn. Zaved. Mat., 1988, 10,  76–79      ; Soviet Math. (Iz. VUZ), 32:10 (1988), 118–122 15. G. I. Ibragimov, “Representation of analytic functions in a closed polydomain by Dirichlet series”, Sibirsk. Mat. Zh., 29:2 (1988),  194–199      ; Siberian Math. J., 29:2 (1988), 315–319 1986 16. 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, 8,  13–22      ; Soviet Math. (Iz. VUZ), 30:8 (1986), 15–25 1984 17. G. I. Ibragimov, “The problem of choice of an optimal dynamical series with a limited lifetime of goods”, Upravliaemie systemy, 1984, 24,  30–34 18. 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, 24,  3–19 1973 19. G. I. Ibragimov, “The growth of functions that are defined by multiple Dirichlet series”, Izv. Vyssh. Uchebn. Zaved. Mat., 1973, 7,  32–40 1972 20. G. I. Ibragimov, “Mean values of entire functions of two complex variables that are represented by Dirichlet series”, Izv. Vyssh. Uchebn. Zaved. Mat., 1972, 6,  36–40 1964 21. 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

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