Geodesic
On the theory of the Cauchy problem for an~ordinary differential equation with discontinuous right-hand side
Sbornik. Mathematics, Tome 83 (1995) no. 2, pp. 383-403

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

An apparatus is developed for proving theorems on the existence of a solution of the Cauchy problem and on continuous dependence of solutions on the initial conditions and parameters, applicable to situations not covered by known results on this subject. 
@article{SM_1995_83_2_a6,
     author = {V. V. Filippov},
     title = {On the theory of the {Cauchy} problem for an~ordinary differential equation with discontinuous right-hand side},
     journal = {Sbornik. Mathematics},
     pages = {383--403},
     publisher = {mathdoc},
     volume = {83},
     number = {2},
     year = {1995},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1995_83_2_a6/}
}
TY  - JOUR
AU  - V. V. Filippov
TI  - On the theory of the Cauchy problem for an~ordinary differential equation with discontinuous right-hand side
JO  - Sbornik. Mathematics
PY  - 1995
SP  - 383
EP  - 403
VL  - 83
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_1995_83_2_a6/
LA  - en
ID  - SM_1995_83_2_a6
ER  - 
%0 Journal Article
%A V. V. Filippov
%T On the theory of the Cauchy problem for an~ordinary differential equation with discontinuous right-hand side
%J Sbornik. Mathematics
%D 1995
%P 383-403
%V 83
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_1995_83_2_a6/
%G en
%F SM_1995_83_2_a6
V. V. Filippov. On the theory of the Cauchy problem for an~ordinary differential equation with discontinuous right-hand side. Sbornik. Mathematics, Tome 83 (1995) no. 2, pp. 383-403. http://geodesic.mathdoc.fr/item/SM_1995_83_2_a6/