A generalized theory of dust-acoustic waves in strongly coupled dusty plasm
as containing variable-charge dusts or impurities is given. Relaxation proc
esses associated with the strong coupling, as well as dust-charge variation
, are taken into account. It is shown that the dispersion and damping prope
rties of the waves are strongly affected by dust-dust correlation, dust cha
rging and viscoelastic relaxations, and dust-neutral collisions. Multiple t
ransitions between positive to negative dispersions are also found and disc
ussed. (C) 2000 American Institute of Physics. [S1070-664X(00)03308-5].