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Plasma axial-shear flow instability arises due to a variation in an equilibrium E × B rotation along the axial direction in which the magnetic field is aligned. The two fluid MHD equations for incompressible perturbation (taking into account the FLR effects) being treated in WKB approximation in transversal direction yield one scalar Klein-Gordon type equation with one-dimensional effective potential U(s) and effective mass m(s). Only axisymmetric, paraxial geometry is analyzed in order to separate the desired effects from the effects related to a variation in cross-sectional shape of the magnetic flux tube. In this work the effective potential was considered for a semi-infinite bounded plasma, first in the form of a square well for analytical study and then in a linear nature to study in the so called “tachion” region. Growth rates as a function of the potential well depth and other parameters were calculated. The cases where effective mass is real and imaginary “tachion” regime were considered. The results obtained are interesting for the stability problem of such open devices as GDT, GAMMA-10, AMBAL-M and the scrape-off layer in tokamak divertors.