  The dispersion equation, describing the instability development of vortex
turbulence excitation in cylindrical plasma in crossed radial electric and
axial magnetic fields with taking into account the longitudinal inhomogeneity
and finite time of leaving of plasma electrons and ions from the system, has
been derived. It is shown that the finite length of system time and finite time
of system leaving of plasma electrons and ions leads to the appearance of the
instability threshold and to decrease of growth rate of its development.
