  In this article we prove two cases of the abundance conjecture for $3$-folds
in characteristic $p>5$: $(i)$ $(X, \Delta)$ is KLT and $\kappa(X,
K_X+\Delta)=1$, and $(ii)$ $(X, 0)$ is KLT, $K_X\equiv 0$ and $X$ is not
uniruled.
