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
1. Gronwall T.H. (1919) Note on the derivatives with respect to a parameter of the solutions of a system of differential equations. Ann. Math. 20(2):293–296. 2. Azamov A.A., Samatov B.T.(2010) The Π-Strategy: Analogies and Applications. The Fourth International Conference Game Theory and Management, St. Petersburg: 33 – 47. 3. Subbotin A.I., Chentsov A.G. (1981). Optimization of Guaranteed Result in Control Problems. Nauka, Moscow. 4. Jack K. Hale. (1980). Ordinary differential equations. Krieger Malabar, Florida: 28 – 37.
Mirzamaxmudov, Umidjon Alijon o‘g‘li; Doliyev, Oybek Bohodir o‘g‘li; and Ahmedov, Olimxon Ulug‘bek o‘g‘li
"PURSUIT PROBLEM IN MOVEMENT WITH ACCELERATION FOR CONTROLS
ON CONSTRAINT OF GRANWOLL TYPE,"
Scientific Bulletin of Namangan State University: Vol. 1
, Article 4.
Available at: https://uzjournals.edu.uz/namdu/vol1/iss3/4