  The problem on identification of a limit of an ordinary differential equation
with discontinuous drift that perturbed by a zero-noise is considered in
multidimensional case. This problem is a classical subject of stochastic
analysis. However the multidimensional case was poorly investigated. We assume
that the drift coefficient has a jump discontinuity along a hyperplane and is
Lipschitz continuous in the upper and lower half-spaces. It appears that the
behavior of the limit process depends on signs of the normal component of the
drift at the upper and lower half-spaces in a neighborhood of the hyperplane,
all cases are considered.
