Geodesic
Problems of Linear Discrete Games of Pursuit
Matematičeskie zametki, Tome 77 (2005) no. 5, pp. 707-718

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, we consider two problems of linear discrete games of pursuit. In each of them, the terms of the sequence defining the pursuer's control are bounded by some positive number. In the first problem, the terms of the sequence defining the quarry's control are bounded by some positive number and, in the second problem, the sum of the $p$th powers of the terms of this sequence is bounded by a given number. For each problem, we obtain a necessary and sufficient condition for the termination of pursuit from all points in space. 
@article{MZM_2005_77_5_a4,
     author = {G. I. Ibragimov},
     title = {Problems of {Linear} {Discrete} {Games} of {Pursuit}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {707--718},
     publisher = {mathdoc},
     volume = {77},
     number = {5},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2005_77_5_a4/}
}
TY  - JOUR
AU  - G. I. Ibragimov
TI  - Problems of Linear Discrete Games of Pursuit
JO  - Matematičeskie zametki
PY  - 2005
SP  - 707
EP  - 718
VL  - 77
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2005_77_5_a4/
LA  - ru
ID  - MZM_2005_77_5_a4
ER  - 
%0 Journal Article
%A G. I. Ibragimov
%T Problems of Linear Discrete Games of Pursuit
%J Matematičeskie zametki
%D 2005
%P 707-718
%V 77
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2005_77_5_a4/
%G ru
%F MZM_2005_77_5_a4
G. I. Ibragimov. Problems of Linear Discrete Games of Pursuit. Matematičeskie zametki, Tome 77 (2005) no. 5, pp. 707-718. http://geodesic.mathdoc.fr/item/MZM_2005_77_5_a4/