Domestic/Duo-Therm made several appliances. If you're talking about his furnace, it sounds like it might be the sail switch. If the fan isn't blowing fast enough to make sure the burner plenum doesn't get too hot, the sail switch won't move far enough to keep the system from cutting off the gas within the first couple of minutes.
But there are other possibilities, since more than one functional requirement has to be satisfied upon startup and during operation (gas flow, air flow, burn air supply, room temp.) or it shuts down. Does his gas stove have enough pressure to work properly? If not, it could be his propane regulator -affecting stove, furnace, hot water, and fridge.
I suppose a thermocoupler could be the culprit if it failed to register the flame presence. Or as mentioned, the switch in the furnace compartment that senses gas flow. Or even a dirty burner nozzle - a good thermocouple may be picking up an existent but inadequate flame; how long since he had regular service on the unit?
Forgive me, it's been a good 20 years since I tore apart the furnace on our '84 Pace Arrow.
Joel