What was found
AIRCRAFT NOT GROUNDED - UPON LEVELING AT FL 390, PRESSURIZATION SYSTEM FLUCTUATED +/- 350 FEET PER MINUTE CONSTANTLY, OUTFLOW VALVE ALSO FLUCTUATED. SWAPPED SYSTEM BY SELECTING "MAN" THEN "AUTO" WITH NO CHANGE. DESCENDED TO FL 350 AND FLUCTUATIONS STOPPED. ACCOMPLISHED TEST OF CABIN PRESSURE CONTROL(CPC) 1 AND 2 PER AMM 21-31-00, TESTED OKAY, NO 30-DAY HISTORY, OKAY FOR SERVICE.