O‘zbekiston matematika jurnali 70-том 2-сан (2026) · 83-89-беттер

An evasion game for an infinite system of ternary differential equations in the Hilbert space $l_{2}$

Ibragimov, G., Muxammadjonov, A., Qushaqov, X.

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Аннотация

In this paper, an evasion game for an infinite system of ternary differential equations is studied. The game is considered in the Hilbert space $l_{2}$. The control parameters of pursuer and evader are subject to geometric constraints. The purpose is to construct strategies for the evader to avoid being captured in the game. Equations for guaranteed evasion time for the evader are derived, describing how long the evader can avoid capture. Furthermore, this research paper contributes to understanding the concept of a guaranteed evasion game.

Differential gameevadercontrolstrategyinfinite system of differential equationsgeometric constraint

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Цитата алуу

APA 7
Ibragimov, G., Muxammadjonov, A. & Qushaqov, X. (2026). An evasion game for an infinite system of ternary differential equations in the Hilbert space $l_{2}$. O‘zbekiston matematika jurnali, 70(2), 83-89.
GOST R 7.0.5
Ibragimov, G., Muxammadjonov, A., Qushaqov, X. An evasion game for an infinite system of ternary differential equations in the Hilbert space $l_{2}$ // O‘zbekiston matematika jurnali. 2026. Т. 70. № 2. С. 83-89.
BibTeX
@article{g.2026,
  author  = {Ibragimov, G. and Muxammadjonov, A. and Qushaqov, X.},
  title   = {An evasion game for an infinite system of ternary differential equations in the Hilbert space $l_{2}$},
  journal = {O‘zbekiston matematika jurnali},
  year    = {2026},
  volume  = {70},
  number  = {2},
  pages   = {83-89}
}
RIS
TY  - JOUR
AU  - Ibragimov, G.
AU  - Muxammadjonov, A.
AU  - Qushaqov, X.
TI  - An evasion game for an infinite system of ternary differential equations in the Hilbert space $l_{2}$
JO  - O‘zbekiston matematika jurnali
PY  - 2026
VL  - 70
IS  - 2
SP  - 83
EP  - 89
ER  -