  We have studied dynamical behaviour of the infinite-range Ising spin glass
model with $p$-spin interaction above and below the transition into the
non-ergodic phase. The transition is continuous at sufficiently high external
magnetic field. The dynamic critical exponent of the power-law decay of the
autocorrelation function at the transition point is shown to decrease smoothly
to zero as the field approaches the ``tricritical'' point from above; at lower
fields the transition is discontinuous. The {\it slow cooling} approach is used
to study the nonergodic behavior below the transition at zero external field.
It is shown that the anomalous response function $\Delta(t,t')$ contains
$\delta$-function as well as regular contributions at {\it any} temperature
below the phase transition. No evidence of the second phase transition (known
to exist within the static replica solution of the same model) is found. At
lower enough temperatures the {\it slow cooling} solution approaches the one
known for the standard SK model.
