A PURSUIT PROBLEM IN DIFFERENTIAL GAME UNDER GEOMETRICAL AND GRONWALL TYPE CONSTRAINTS

Authors

  • Samatova is the daughter of Munira Dilshad
  • Usmanova is the daughter of Nodira Abduqadir Teachers of the Department of Applied Mathematics and Informatics of the Andijan Institute of Economics and Construction

Keywords:

Differensial o‘yin, Gronuoll tengsizligi, quvlovchi, qochuvchi, geometrik chegaralanish, qochish, strategiya.

Abstract

Ushbu ma’ruzada differensial o‘yinlar nazariyasida Gronuoll tipidagi tengsizliklarni qo‘llanishi ko‘rilgan. Bunda quvlovchining boshqaruv funksiyasiga geometrik chegaralanish va qochuvchining boshqaruv funksiyasiga Gronuoll tipidagi chegaralanish qo‘yilgan holda chiziqli differensial o‘yinlarda tutish masalasi o‘rganiladi

References

Gronwall T.H. Note on the derivatives with respect to a parameter of the solutions of a system of differential equations. Ann. Math., 1919, 20(2): 293-296.

Azamov A.A. About the quality problem for the games of simple pursuit with the restriction, Serdika. Bulgarian math. spisanie, 12, 1986, - P.38-43.

Azamov A.A., Samatov B.T. П-Strategy. An Elementary introduction to the Theory of Differential Games. - T.: National Univ. of Uzb., 2000. - 32 p.

Azamov A.A., Samatov B.T. The П-Strategy: Analogies and Appli-cations, The Fourth International Conference Game Theory and Management, June 28-30, 2010, St. Petersburg, Russia, Collected papers. - P.33-47.

Samatov B.T., Soyibboyev U.B., Akbarov A.Kh. Evasion problem in linear differential game with Gronwall type constraint. Scientific Bulletin of Namangan State University 1(10), 25-33, 2019.

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Published

2023-02-17