RUS  ENG
Full version
JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2021 Number 11, Pages 21–33 (Mi ivm9726)

This article is cited in 3 papers

On the modified third method in the pursuit problem for differential-difference equations of neutral type

N. A. Mamadalieva, T. T. Ibaydullaevb

a National University of Uzbekistan named after M. Ulugbek, 4 Universitetskaya str., Vuzgorodok, Tashkent, 100174 Republic of Uzbekistan
b Andijan State University, 129 Universitetskaya str., Andijan, 170100 Republic of Uzbekistan

Abstract: In this paper, we study linear differential games described by a system of linear differential-difference equations of neutral type under geometric constraints on the controls of the players. We give several scheme for getting enough conditions for solvability of the linear problem pursuit.

Keywords: differential games, the pursuit problem, differential-difference equations of neutral type, terminal set, pursuer, evader, controls.

UDC: 517.97

Received: 16.01.2021
Revised: 11.03.2021
Accepted: 30.03.2021

DOI: 10.26907/0021-3446-2021-11-21-33


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, 65:11, 18–28


© Steklov Math. Inst. of RAS, 2024