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Scientific Bulletin of Namangan State University

Abstract

In this work is considered a differtial game of the second order, when control functions of the players satisfies geometric constraints. The proposed method substantiates the parallel approach strategy in this differential game of the second order. The new sufficient solvability conditions are obtained for problem of the pursuit

First Page

3

Last Page

8

References

1. Azamov A. On the quality problem for simple pursuit games with constraint // Serdica Bulgariacae math. Publ. – Sofia, 1986. - Vol. 12. - № 1. – P. 38-43. 2. Azamov A.A., Samatov B.T. The П-Strategy: Analogies and Applications // The Fourth International Conference Game Theory and Management , June 28-30, 2010, St. Petersburg, Russia, Collected papers. – Р. 33-47. 3. Isaacs R. Differential Games. – New York: John &Wiley, 1971. – 480 p. 4. Kuchkarov A.Sh., Ibragimov G.I. An Analogue of the P-strategy and Pursuit and Evasion Differential Games with many Pursuers on a Surface // Game Theory and Management, St.Petersburg, Graduate School of Management SPbU. – St. Petersburg, 2010. - Vol.3. – P. 247-256

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