** kenmore stove/oven model # 362.7535190 [oven burners won’t come on] *

Your range’s oven uses a hot surface (ignitor) ignition system to light the oven burners. You can read about common problems with that type of system and observation which will be necessary to diagnose it further at the following link:

Understanding Gas Oven Ignition Systems
LINK > http://www.appliance411.com/links/jump.cgi?ID=823

Dan O.
The Appliance Information Site