  The Oort-Hulst-Safronov equation, shorterned as OHS is a relevant population
balance model. Its discrete form, developed by Dubovski is the main focus of
our analysis. The existence and density conservation are established for the
coagulation rate $V_{i,j} \leqs (i+j),$ $\forall i,j \in \mathbb{N}$.
Differentiability of the solutions is investigated for the kernel $V_{i,j}
\leqs i^{\alpha}+j^{\alpha}$ where $0 \leqs \alpha \leqs 1$. The article
finally deals with the uniqueness result that requires the boundedness of the
second moment.
