Matematičeskie zametki, Tome 10 (1971) no. 3, pp. 307-313
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A. F. Filippov. The existence of solutions of generalized differential equations. Matematičeskie zametki, Tome 10 (1971) no. 3, pp. 307-313. http://geodesic.mathdoc.fr/item/MZM_1971_10_3_a8/
@article{MZM_1971_10_3_a8,
author = {A. F. Filippov},
title = {The existence of solutions of generalized differential equations},
journal = {Matemati\v{c}eskie zametki},
pages = {307--313},
year = {1971},
volume = {10},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1971_10_3_a8/}
}
TY - JOUR
AU - A. F. Filippov
TI - The existence of solutions of generalized differential equations
JO - Matematičeskie zametki
PY - 1971
SP - 307
EP - 313
VL - 10
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1971_10_3_a8/
LA - ru
ID - MZM_1971_10_3_a8
ER -
%0 Journal Article
%A A. F. Filippov
%T The existence of solutions of generalized differential equations
%J Matematičeskie zametki
%D 1971
%P 307-313
%V 10
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1971_10_3_a8/
%G ru
%F MZM_1971_10_3_a8
The existence is proved of a solution of the equation $\dot{x}\in F(t,x)$, where $F(t,x)$ is a nonempty closed set depending continuously on $t$ and $x$, with no assumptions concerning the convexity of this set.
