persecution,
escape,
the terminal set,
finite differences.
UDC:
517.977.56
Subject:
differential games, differential games with distributed parameters, mathematics teaching methods
Main publications:
Mamatov M. Sh., “About application of a method of final differences to the decision a prosecution problem in systems with the distributed parameters”, Automation and remote control, 70:8 (2009), 1376–1384
Mamatov M. Sh. , Alimov H. N., “Solution of the problem of persecution in games distributed systems of higher order”, Siberian Advances in Mathematics, 16:2 (2013), 229–239, Novosibirsk
M. Sh. Mamatov, Kh. N. Alimov, “Fractional order differential pursuit games with nonlinear controls”, Russian Universities Reports. Mathematics, 25:132 (2020), 401–409
2018
2.
M. Sh. Mamatov, Kh. Kh. Sobirov, “On the Theory of Position Pursuit Differential Games”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 144 (2018), 39–46; Journal of Mathematical Sciences, 245:3 (2020), 332–340
M. Sh. Mamatov, “Application of the finite difference method to the problem of pursuit in the distributed-parameter systems”, Avtomat. i Telemekh., 2009, no. 8, 123–132; Autom. Remote Control, 70:8 (2009), 1376–1384
M. Sh. Mamatov, “The problem of pursuit and evasion with the control given by the second-order difference equations”, Izv. IMI UdGU, 2006, no. 3(37), 95–96
1990
7.
N. Yu. Satimov, M. Sh. Mamatov, “A class of linear differential and discrete games between groups of pursuers and evaders”, Differ. Uravn., 26:9 (1990), 1541–1551; Differ. Equ., 26:9 (1990), 1138–1146