Most Galactic point sources of gamma rays remain unidentified. The few (ext
rasolar) sources that have been identified are all young, rotation-powered
pulsars, all but one of which were identified using radio ephemerides. The
radio-quiet Geminga pulsar was identified only after pulsations were discov
ered in a coincident X-ray source. Observational evidence indicates that ma
ny of the unidentified Galactic sources are likely to be pulsars, and some
theoretical models predict a potentially large population of radio-quiet ga
mma-ray pulsars. We present a new method for performing sensitive gamma-ray
pulsar searches. We used this method to search several of the strongest EG
RET sources for pulsations. This was a blind search for new pulsars, coveri
ng a frequency and a frequency-derivative phase space large enough to detec
t Crab-like pulsars as well as lower frequency, high magnetic field "magnet
ars." No new pulsars were discovered, and we report upper limits constraini
ng the characteristics of any signals contained in the data sets searched.