We introduce a time-dependent perturbation method to calculate the number o
f created particles in a 1D cavity with an oscillating wall of the frequenc
y Omega. This method makes it easy to find the dominant part of the solutio
n which results from the parametric resonance. The maximal number of partic
les are created at the mode frequency Omega/2. Using the Floquet theory, we
discuss the long-time behavior of the particle creation.