Аннотация:
Изучены задачи преследования и уклонения от встречи в управляемых уравнениях параболического типа. Управляющие параметры входят в правую часть уравнений в аддитивной форме. Изучены всевозможные случаи ограничений на управления. Для некоторых случаев выделены пары множеств начальных положений таких, что из точек первого из них гарантируется завершение преследования, а из точек второго – уклонение от встречи с терминальным множеством.
Библиогр. 14 назв.
Образец цитирования:
Н. Ю. Сатимов, М. Тухтасинов, “О некоторых игровых задачах в управляемых эволюционных уравнениях первого порядка”, Дифференц. уравнения, 41:8 (2005), 1114–1121; Differ. Equ., 41:8 (2005), 1169–1177
Ruzakhon Kazimirova, Gafurjan Ibragimov, Bruno Antonio Pansera, Abdulla Ibragimov, “Multi-Pursuer and One-Evader Evasion Differential Game with Integral Constraints for an Infinite System of Binary Differential Equations”, Mathematics, 12:8 (2024), 1183
Diviekga Nair Madhavan, Idham Arif Alias, Gafurjan Ibragimov, Risman Mat Hasim, THE 7TH BIOMEDICAL ENGINEERING'S RECENT PROGRESS IN BIOMATERIALS, DRUGS DEVELOPMENT, AND MEDICAL DEVICES: The 15th Asian Congress on Biotechnology in conjunction with the 7th International Symposium on Biomedical Engineering (ACB-ISBE 2022), 3080, THE 7TH BIOMEDICAL ENGINEERING'S RECENT PROGRESS IN BIOMATERIALS, DRUGS DEVELOPMENT, AND MEDICAL DEVICES: The 15th Asian Congress on Biotechnology in conjunction with the 7th International Symposium on Biomedical Engineering (ACB-ISBE 2022), 2024, 080012
Abbas Ja'afaru Badakaya, Sani Musa Tsoho, Mehdi Salimi, “On Some ℓ-Catch Pursuit Differential Games with Different Players' Dynamic Equations”, Differ Equ Dyn Syst, 2024
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
G. I. Ibragimov, X. Sh. Qo'shaqov, A. A. Muxammadjonov, “Optimal Pursuit Differential Game Problem for an Infinite System of Binary Differential Equations”, Lobachevskii J Math, 45:3 (2024), 1131
Ruzakhon Kazimirova, Gafurjan Ibragimov, Risman Mat Hasim, Mohamat Aidil Mohamat Johari, 5TH INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES (ICMS5), 3150, 5TH INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES (ICMS5), 2024, 020004
D. N. Madhavan,, I. A. Alias,, G. Ibragimov,, R. M. Hasim,, “Some Results on Pursuit Games for an Infinite System of Ternary Differential Equations”, MJMS, 18:3 (2024), 567
Gafurjan Ibragimov, Xolmurodjon Qushaqov, Akbarjon Muxammadjonov, Bruno Antonio Pansera, “Guaranteed Pursuit and Evasion Times in a Differential Game for an Infinite System in Hilbert Space l2”, Mathematics, 11:12 (2023), 2662
Marks Ruziboev, Gafurjan Ibragimov, Khudoyor Mamayusupov, Adkham Khaitmetov, Bruno Antonio Pansera, “On a Linear Differential Game in the Hilbert Space ℓ2”, Mathematics, 11:24 (2023), 4987
Gafurjan Ibragimov, Marks Ruziboev, Ibroximjon Zaynabiddinov, Bruno Antonio Pansera, “Evasion Differential Game of Multiple Pursuers and a Single Evader with Geometric Constraints in ℓ2”, Games, 14:4 (2023), 52
Gafurjan Ibragimov, Ruzakhon Kazimirova, Bruno Antonio Pansera, “Evasion Differential Game of Multiple Pursuers and One Evader for an Infinite System of Binary Differential Equations”, Mathematics, 10:23 (2022), 4448
Gafurjan Ibragimov, Sarvinoz Kuchkarova, Risman Mat Hasim, Bruno Antonio Pansera, “Differential Game for an Infinite System of Two-Block Differential Equations”, Mathematics, 10:14 (2022), 2541
Mashrabjon Mamatov, Khakim Alimov, Egamberdi Esonov, “Positional strategies in fractional order differential games”, J. Phys.: Conf. Ser., 2388:1 (2022), 012026
G. Ibragimov, H. Qo'shaqov, I. Turgunov, I. A. Alias, “The solution of an infinite system of ternary differential equations”, Math. Model. Comput., 9:4 (2022), 833
Gafurjan Ibragimov, Massimiliano Ferrara, Idham Arif Alias, Mehdi Salimi, Nurzeehan Ismail, “Pursuit and Evasion Games for an Infinite System of Differential Equations”, Bull. Malays. Math. Sci. Soc., 45:1 (2022), 69
Muminjon Tukhtasinov, Gafurjan Ibragimov, Sarvinoz Kuchkarova, Risman Mat Hasim, “Differential Games for an Infinite 2-Systems of Differential Equations”, Mathematics, 9:13 (2021), 1467
Gafurjan Ibragimov, Idham Arif Alias, Usman Waziri, Abbas Badakaya Ja'afaru, “Differential Game of Optimal Pursuit for an Infinite System of Differential Equations”, Bull. Malays. Math. Sci. Soc., 42:1 (2019), 391
Mashrabjan Mamatov, Khakim Alimov, “Differential Games of Persecution of Frozen Order with Separate Dynamics”, JAMP, 06:03 (2018), 475
Gafurjan Ibragimov, Askar Rakhmanov, Idham Arif Alias, Mai Zurwatul Ahlam Mohd Jaffar, “The soft landing problem for an infinite system of second order differential equations”, Numerical Algebra, Control & Optimization, 7:1 (2017), 89
Mashrabjan Mamatov, Durdimurod Durdiev, Khakim Alimov, “On the Theory of Fractional Order Differential Games of Pursuit”, JAMP, 04:08 (2016), 1578