Teoriâ veroâtnostej i ee primeneniâ, Tome 14 (1969) no. 3, pp. 516-522
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A. Ya. Kogan. On optimal control of a non-stopped diffusion process with reflection. Teoriâ veroâtnostej i ee primeneniâ, Tome 14 (1969) no. 3, pp. 516-522. http://geodesic.mathdoc.fr/item/TVP_1969_14_3_a11/
@article{TVP_1969_14_3_a11,
author = {A. Ya. Kogan},
title = {On optimal control of a~non-stopped diffusion process with reflection},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {516--522},
year = {1969},
volume = {14},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1969_14_3_a11/}
}
TY - JOUR
AU - A. Ya. Kogan
TI - On optimal control of a non-stopped diffusion process with reflection
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1969
SP - 516
EP - 522
VL - 14
IS - 3
UR - http://geodesic.mathdoc.fr/item/TVP_1969_14_3_a11/
LA - ru
ID - TVP_1969_14_3_a11
ER -
%0 Journal Article
%A A. Ya. Kogan
%T On optimal control of a non-stopped diffusion process with reflection
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1969
%P 516-522
%V 14
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_1969_14_3_a11/
%G ru
%F TVP_1969_14_3_a11
In the paper the results of [1] are generalized to the multi-dimensional case, when boundary conditions are reduced to reflection in a non-tangential direction $\gamma$. It is supposed that the drift coefficients only are controllable. The method proposed to prove Theorem 1 gives a more effective procedure of finding the optimal value of the performance $\widehat\theta$ than that in [1].