** GE gas [range model] jgbp28beawh **
That model number looks to be missing a number (Eg. JGBP28BEA_WH). Did you get it right off the appliance's model and serial number tag?
You can find tips for locating the model number and serial identification tag on your appliances in the 'Repair Parts' section of my web site linked below.
** the oven continually [burns]. I assume this is a thermostat or sensor problem- am I right? **
No sensor problem should cause such an occurrence (if you model even uses one).
If you model uses a thermostat, it could cause it, yes. If your model uses an electronic control for the oven, it being defective could cause it. Also, in either case, a short in the oven's control system wiring might also cause it.
The Appliance Information Site