Single electron tunneling into small superconducting islands is sensit
ive to the gap energy of the excitations created in the process and, h
ence, depends on the parity of the electron number in the island. We s
tudy these effects by analyzing the kinetics of the system. The tunnel
ing of a single electron, the ''odd'' one, dominates at low temperatur
es since in this process the excitation energy can be regained, while
the competing regular processes are exponentially suppressed. We discu
ss the influence of parity effects on single electron tunneling and An
dreev reflection in superconducting transistors and find rich structur
es in the I-V characteristics. which compare well with recent experime
nts.