On the existence of solutions of stochastic differential equations with integrable drift coefficient
Teoriâ veroâtnostej i ee primeneniâ, Tome 19 (1974) no. 3, pp. 577-582

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

In the paper, the existence of a solution of a stochastic differential equation is proved under the condition that the drift coefficient is the sum of a bounded function and an integrable to some power function and the diffusion coefficient is Hölder continuous and nonsingular.
@article{TVP_1974_19_3_a8,
     author = {M. \={I}. Portenko},
     title = {On the existence of solutions of stochastic differential equations with integrable drift coefficient},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {577--582},
     publisher = {mathdoc},
     volume = {19},
     number = {3},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1974_19_3_a8/}
}
TY  - JOUR
AU  - M. Ī. Portenko
TI  - On the existence of solutions of stochastic differential equations with integrable drift coefficient
JO  - Teoriâ veroâtnostej i ee primeneniâ
PY  - 1974
SP  - 577
EP  - 582
VL  - 19
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TVP_1974_19_3_a8/
LA  - ru
ID  - TVP_1974_19_3_a8
ER  - 
%0 Journal Article
%A M. Ī. Portenko
%T On the existence of solutions of stochastic differential equations with integrable drift coefficient
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1974
%P 577-582
%V 19
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TVP_1974_19_3_a8/
%G ru
%F TVP_1974_19_3_a8
M. Ī. Portenko. On the existence of solutions of stochastic differential equations with integrable drift coefficient. Teoriâ veroâtnostej i ee primeneniâ, Tome 19 (1974) no. 3, pp. 577-582. http://geodesic.mathdoc.fr/item/TVP_1974_19_3_a8/