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
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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 -
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/