  We study the phenomenon of revivals for the linear Schr\"odinger and Airy
equations over a finite interval, by considering several types of non-periodic
boundary conditions. In contrast with the case of the linear Schr\"odinger
equation examined recently (which we develop further), we prove that,
remarkably, the Airy equation does not generally exhibit revivals even for
boundary conditions very close to periodic. We also describe a new, weaker form
of revival phenomena, present in the case of certain Robin-type boundary
conditions for the linear Schr\"odinger equation. In this weak revival, the
dichotomy between the behaviour of the solution at rational and irrational
times persists, but in contrast with the classical periodic case, the solution
is not given by a finite superposition of copies of the initial condition.
