On the theory of differential games of escape
Sbornik. Mathematics, Tome 32 (1977) no. 3, pp. 371-383

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

The paper consists of three sections. In § 1 a simplified proof is obtained of Pontryagin's escape theorem, differing from his in that in the so-called fine case no integral equation is solved. In § 2, at the expense of restricting the class of controls available to the pursuer, the theory is in a definite sense freed of the constant $\mu$ occurring in Pontryagin's escape theorem. In § 3 a sufficient escape condition is presented for quasilinear games, and examples are also considered. Bibliography: 24 titles.
@article{SM_1977_32_3_a6,
     author = {N. Yu. Satimov},
     title = {On the theory of differential games of escape},
     journal = {Sbornik. Mathematics},
     pages = {371--383},
     publisher = {mathdoc},
     volume = {32},
     number = {3},
     year = {1977},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1977_32_3_a6/}
}
TY  - JOUR
AU  - N. Yu. Satimov
TI  - On the theory of differential games of escape
JO  - Sbornik. Mathematics
PY  - 1977
SP  - 371
EP  - 383
VL  - 32
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_1977_32_3_a6/
LA  - en
ID  - SM_1977_32_3_a6
ER  - 
%0 Journal Article
%A N. Yu. Satimov
%T On the theory of differential games of escape
%J Sbornik. Mathematics
%D 1977
%P 371-383
%V 32
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_1977_32_3_a6/
%G en
%F SM_1977_32_3_a6
N. Yu. Satimov. On the theory of differential games of escape. Sbornik. Mathematics, Tome 32 (1977) no. 3, pp. 371-383. http://geodesic.mathdoc.fr/item/SM_1977_32_3_a6/