Considering the Boltzmann response of the ions and electrons in plasma dyna
mics and inertial dynamics of the dust charged grains in a highly collision
al dusty plasma, the nature of the electrostatic potential near a boundary
is investigated. Based on the fluid approximation, the formation as well as
the characteristic behaviours of the sheath is studied. It is expected tha
t the presence of dust charged grains will lead to a very different behavio
ur of the sheath as compared to that of electron-ion plasma. Moreover, the
collisions of the dust charged grains with the neutrals are expected to exh
ibit novel features.