Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 3, pp. 610-621
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M. M. Potapov. Approximation with respect to a functional of maximin problems with connected variables. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 3, pp. 610-621. http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_3_a4/
@article{ZVMMF_1979_19_3_a4,
author = {M. M. Potapov},
title = {Approximation with respect to a functional of maximin problems with connected variables},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {610--621},
year = {1979},
volume = {19},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_3_a4/}
}
TY - JOUR
AU - M. M. Potapov
TI - Approximation with respect to a functional of maximin problems with connected variables
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 1979
SP - 610
EP - 621
VL - 19
IS - 3
UR - http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_3_a4/
LA - ru
ID - ZVMMF_1979_19_3_a4
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%0 Journal Article
%A M. M. Potapov
%T Approximation with respect to a functional of maximin problems with connected variables
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1979
%P 610-621
%V 19
%N 3
%U http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_3_a4/
%G ru
%F ZVMMF_1979_19_3_a4
The general necessary and sufficient conditions are obtained for the approximation with respect to a functional of maximin problems with connected sets. Taking the example of a maximin problem for a system of ordinary differential equations with phase constraints, we illustrate how the general theorem can be used to prove the convergence with respect to a functional of different approximations of the initial problem.
