  A solution to the BBGKY hierarchy for nonequilibrium distribution functions
is obtained within modified boundary conditions. The boundary conditions take
into account explicitly both the nonequilibrium one-particle distribution
function as well as local conservation laws. As a result, modified group
expansions are proposed. On the basis of these expansions, a generalized
kinetic equation for hard spheres and a generalized Bogolubov-Lenard-Balescu
kinetic equation for a dense electron gas are derived within the polarization
approximation.
