O‘zbekiston matematika jurnali Volume 70 Issue 2 (2026) · pp. 90-101

Evasion differential game of one evader and multiple pursuers with changing energies

Ibragimov, Gafurjon, Inomiddinov, Sardorbek, Ibrokhimjonov, Islombek

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Abstract

In this paper, we study a simple motion evasion differential game of multiple pursuers andone evader. The control functions of the players are subject to integral constraints, where the energies of theplayers change linearly. If the state of the evader does not coincide with those of the pursuers forever, we saythat evasion is possible in the game. We prove a theorem about evasion and construct a strategy for the evaderthat guarantees evasion in the game.

differential game, integral constraint, pursuer, evader, evasion strategy, pursuit, evasion

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Cite

APA 7 
Ibragimov, Gafurjon, Inomiddinov, Sardorbek & Ibrokhimjonov, Islombek (2026). Evasion differential game of one evader and multiple pursuers with changing energies. O‘zbekiston matematika jurnali, 70(2), 90-101.
GOST R 7.0.5 
Ibragimov, Gafurjon, Inomiddinov, Sardorbek, Ibrokhimjonov, Islombek Evasion differential game of one evader and multiple pursuers with changing energies // O‘zbekiston matematika jurnali. 2026. Т. 70. № 2. С. 90-101.
BibTeX 
@article{gafurjon2026,
  author  = {Ibragimov, Gafurjon and Inomiddinov, Sardorbek and Ibrokhimjonov, Islombek},
  title   = {Evasion differential game of one evader and multiple pursuers with changing energies},
  journal = {O‘zbekiston matematika jurnali},
  year    = {2026},
  volume  = {70},
  number  = {2},
  pages   = {90-101}
}
RIS 
TY  - JOUR
AU  - Ibragimov, Gafurjon
AU  - Inomiddinov, Sardorbek
AU  - Ibrokhimjonov, Islombek
TI  - Evasion differential game of one evader and multiple pursuers with changing energies
JO  - O‘zbekiston matematika jurnali
PY  - 2026
VL  - 70
IS  - 2
SP  - 90
EP  - 101
ER  -