I haven't had any problem keeping the oven light going in my GE P-7 wall oven. I replaced the stock 40 watt one anyway, because I was experimenting around with seeing if a higher wattage would keep the oven at the correct temp for making yogurt. (It sort of worked, but then I realized the little yogurt maker I have is more convenient, and I really don't need to be making gallons of yogurt anyway, lol).
I am wondering if your GE Profile has a bad lamp socket, which is arcing and maybe causing the filament to vibrate unnecessarily. Make sure you cut the power to the oven at the breaker panel before investigating further! You could check to see if the socket is corroded, or loose.
Also, I would recommend handling a new bulb only with a towel or gloved hands. Oil from fingerprints could be shortening the life of the bulb.