Hi.
Thanks for your query.
Noted the history and understood the concerns.
Hungry then burning stomach, 
dizziness and feels like walking on a rubber floor. Goes on for a week or so and out of actions for days or weeks. 
This looks to be related to severe acidity related problems but the rare problems like 
Gastrinoma and such diseases or disorders have to taken into account.
I would advise you the following in such a situation:
Contrast enhanced CT Scan of the whole abdomen.
Upper GI 
Endoscopy and H. pylori tests.
Tests of stool and blood.
Clinical evaluation by a Gastroenterologist.
All these things will lead to a proper diagnosis and give a plan of management.
Till then take a PPI like 
Omeprazole, Antacids every three hourly, 
Domperidone as a prokinetic.
Soft bland diet and small frequent meals.