Аннотация:
В работе получены достаточные условия для возможности завершения преследования
за конечное время в дифференциальных и дискретных играх многих лиц с интегральными ограничениями. Изучена также задача убегания для дискретных игр многих лиц. Результаты иллюстрируются на примерах.
Библиография: 17 названий.
Образец цитирования:
Н. Ю. Сатимов, Б. Б. Рихсиев, А. А. Хамдамов, “О задаче преследования для линейных дифференциальных и дискретных игр многих лиц с интегральными ограничениями”, Матем. сб., 118(160):4(8) (1982), 456–469; N. Yu. Satimov, B. B. Rikhsiev, A. A. Khamdamov, “On a pursuit problem for n-person linear differential and discrete games with integral constraints”, Math. USSR-Sb., 46:4 (1983), 459–471
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\by N.~Yu.~Satimov, B.~B.~Rikhsiev, A.~A.~Khamdamov
\paper On a pursuit problem for $n$-person linear differential and discrete games with integral constraints
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Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/sm2826
https://www.mathnet.ru/rus/sm/v160/i4/p456
Эта публикация цитируется в следующих 26 статьяx:
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Gafurjan Ibragimov, Omongul Egamberganova, Idham Arif Alias, Shravan Luckraz, “On some new results in a pursuit differential game with many pursuers and one evader”, MATH, 8:3 (2023), 6581
Gafurjan Ibragimov, Yusra Salleh, Idham Arif Alias, Bruno Antonio Pansera, Massimiliano Ferrara, “Evasion from Several Pursuers in the Game with Coordinate-wise Integral Constraints”, Dyn Games Appl, 13:3 (2023), 819
B. T. Samatov, B. I. Zhuraev, “Pursuit-evasion problems under nonlinear increase of the pursuer's resource”, Тр. ИММ УрО РАН, 28, № 3, 2022, 285–295
Bahrom T. Samatov, Ulmasjon B. Soyibboev, “Differential game with a lifeline for the inertial movements of players”, Ural Math. J., 7:2 (2021), 94–109
B. T. Samatov, N. T. Umaraliyeva, S. I. Uralova, “Differential Games with the Langenhop Type Constrains on Controls”, Lobachevskii J Math, 42:12 (2021), 2942
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
Massimiliano Ferrara, Gafurjan Ibragimov, Idham Arif Alias, Mehdi Salimi, “Pursuit Differential Game of Many Pursuers with Integral Constraints on Compact Convex Set”, Bull. Malays. Math. Sci. Soc., 43:4 (2020), 2929
Gafurjan Ibragimov, Massimiliano Ferrara, Atamurat Kuchkarov, Bruno Antonio Pansera, “Simple Motion Evasion Differential Game of Many Pursuers and Evaders with Integral Constraints”, Dyn Games Appl, 8:2 (2018), 352
Ibragimov Gafurjan, Usman Waziri, Idham Arif Alias, Zarina Bibi Ibrahim, Springer Proceedings in Mathematics & Statistics, 268, Differential Equations and Dynamical Systems, 2018, 101
Idham Arif Alias, Gafurjan Ibragimov, Askar Rakhmanov, “Evasion Differential Game of Infinitely Many Evaders from Infinitely Many Pursuers in Hilbert Space”, Dyn Games Appl, 7:3 (2017), 347
Gafurjan Ibragimov, Piriatharisini Karapanan, Idham Arif Alias, 2015 International Conference on Research and Education in Mathematics (ICREM7), 2015, 223
Atamurat Kuchkarov, Gafurjan Ibragimov, Akmal Sotvoldiev, International Conference on Mathematical Sciences and Statistics 2013, 2014, 31
Gafurjan Ibragimov, Asqar Rahmanov, Idham Arif Alias, International Conference on Mathematical Sciences and Statistics 2013, 2014, 37
Kuchkarov A., Ibragimov G., Sotvoldiev A., “Linear Discrete Pursuit Game Problem with Total Constraints”, Abstract Appl. Anal., 2013, 840925
Ibragimov G.I., Salimi M., Amini M., “Evasion From Many Pursuers in Simple Motion Differential Game with Integral Constraints”, Eur. J. Oper. Res., 218:2 (2012), 505–511
Ibragimov G., Satimov Nu'man, “A Multiplayer Pursuit Differential Game on a Closed Convex Set with Integral Constraints”, Abstract Appl. Anal., 2012, 460171
GAFURJAN I. IBRAGIMOV, RISMAN MAT HASIM, “PURSUIT AND EVASION DIFFERENTIAL GAMES IN HILBERT SPACE”, Int. Game Theory Rev, 12:03 (2010), 239
Azamov A.A., Kuchkarov A.Sh., “On Controllability and Pursuit Problems in Linear Discrete Systems”, J. Comput. Syst. Sci. Int., 49:3 (2010), 360–365
Г. И. Ибрагимов, “О задачах линейной дискретной игры преследования”, Матем. заметки, 77:5 (2005), 707–718; G. I. Ibragimov, “Problems of Linear Discrete Games of Pursuit”, Math. Notes, 77:5 (2005), 653–662