ON ONE PROBLEM OF PURSUITING DIFFERENTIAL-DIFFERENCE EQUATIONS OF NEUTRAL TYPE

ON ONE PROBLEM OF PURSUITING DIFFERENTIAL-DIFFERENCE EQUATIONS OF NEUTRAL TYPE

Authors

  • Alimdjanovich The National University of Uzbekistan named after Mirzo Ulugbek
  • Esbosinovich National University of Uzbekistan named after M. Ulugbek

DOI:

https://doi.org/10.52754/16948645_2023_2_97

Keywords:

Differential game, pursuit game, integral constraint, resolving function, conflict-controlled process, multivalued mapping, pursuer, evader

Abstract

In this paper, the main attention is paid to the study of the pursuit problem described by a system of linear differential-difference equations of neutral type under integral restrictions on the players’ controls. When studying this problem, a new sufficient condition was obtained to complete the game in a certain finite time. This work is adjacent to publications [1]-[3].

References

Понтрягин Л.С. Избранные научные труды, Наука, М., Т.2, 1988.

Беллман Р.,Кук К., Дифференциально-разностные уравнения, Наука, М.,1967.

Мамадалиев Н., Ибайдуллаев Т.Т. Модификация третьего метода преследования

для дифференциально-разностных уравнений нейтрального типа// Изв.вузов. Матем., 2021. № 11, 21-33.

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Published

2023-12-30

How to Cite

Mamadaliev, N., & Bekniyazov, A. (2023). ON ONE PROBLEM OF PURSUITING DIFFERENTIAL-DIFFERENCE EQUATIONS OF NEUTRAL TYPE: ON ONE PROBLEM OF PURSUITING DIFFERENTIAL-DIFFERENCE EQUATIONS OF NEUTRAL TYPE. Journal of Osh State University. Mathematics. Physics. Technical Sciences, (2(3), 97–104. https://doi.org/10.52754/16948645_2023_2_97

Issue

No. 2(3) (2023): Journal of Osh State University. Mathematics. Physics. Technical Sciences

Section

MATHEMATICS

License

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