Scientific Bulletin of Namangan State University


In this paper, we study the pursuit problem for differential game of the second order with integral constraints on the control functions of players. The proposed method substantiates the parallel approach and the new sufficient solvability conditions are obtained. Keywords: integral constraints, differential game, pursuer, evader, acceleration

First Page


Last Page



1. Azamov, A. A. and Ruziboyev, M. B. (2013). The time-optimal problem for evolutionary partial differential equations. Journal of Applied Mathematics and Mechanics, 77(2):220–224. 2. Azamov, A. A. and Samatov, B. T. (2000). P-strategy. En elementary introduction to the Theory of Differential Games. National University of Uzbekistan, Tashkent, Uzbekistan. 3. 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. 4. Chernousko F.L., Ananievski I.M., Reshmin S.A. Control of Nonlinear Dynamical Systems. – Berlin, Heidel.: Spr., – 2008.– 396 p.





To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.