Abstract
We have studied a set of coupled differential-difference equations for multiplicity distributions, which in a combined way takes into account nonsingular terms in the GLAP splitting functions for gluon emission and kinematical constraints related to recoil effects. These equations are supplemented with appropriate boundary conditions, which are essential for the behaviour at non-asymptotic energies. The presence of retarded terms implies that the cascade develops more slowly and reduces the fluctuations. The solutions agree well with MC simulations and with experimental data.
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